What are some examples of least common factor

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Normally, we look for the greatest common factor and the least common multiple.

To find the least common factor, we have to factor both numbers and see what the least common factor is. However, we know the one set of factors for every number is itself and one. For example, 56 and 49.

The factors of 56 are 1, 2, 4, 7, 8, 14, 28 and 56.

The factors of 49 are 1, 7, 49.

What is the least common factor of both numbers? 1

So the least common factor of any two numbers is 1.

Any questions, let me know.

Good luck,

Paul

Posted on Jun 02, 2016

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Understand the process first and then go for an example:

**How to do?**

1. Make a list of multiples for each number

2. Continue your list until at least two multiples are common to all lists

3. Identify the common multiples

Still have confusion? Consult an expert Algebra Tutor!

1. Make a list of multiples for each number

2. Continue your list until at least two multiples are common to all lists

3. Identify the common multiples

Still have confusion? Consult an expert Algebra Tutor!

Sep 19, 2017 | Office Equipment & Supplies

Factor both the numerator and denominator, and then divide both the numerator and denominator by the greatest common factor.

For example, 1/3 + 1/6 = 2/6 + 1/6 = 3/6. We have to simplify 3/6. The factors of 3 are 3 and 1. The factors of 6 and 1, 2, 3, and 6. The greatest common factor is 3. Dividing the numerator and denominator by 3 results in 1/2.

Good luck.

Paul

For example, 1/3 + 1/6 = 2/6 + 1/6 = 3/6. We have to simplify 3/6. The factors of 3 are 3 and 1. The factors of 6 and 1, 2, 3, and 6. The greatest common factor is 3. Dividing the numerator and denominator by 3 results in 1/2.

Good luck.

Paul

Nov 23, 2015 | Texas Instruments TI-84 Plus Calculator

A ratio can be simplified by dividing both sides of the ratio by the Highest Common Factor (HCF). The highest common factor is the largest number that goes into both numbers of your ratio. In example 1 you are asked to simplify the ratio 6:8. Here the HCF is 2 so divide both sides of the ratio by 2 to give 3:4.

https://www.youtube.com/watch?v=cbjQWf411O8

https://www.youtube.com/watch?v=cbjQWf411O8

Mar 04, 2015 | The Learning Company Achieve! Math &...

Use this http://www.calculatorsoup.com/calculators/math/percent-to-fraction-calculator.php

**OR** to work it out yourself.....#

### How to convert percent to fraction

1% = 1/100

So in order to convert percent to fraction, divide the percent by 100% and reduce the fraction.

For example 56% is equal to 56/100 with gcd=4 is equal to 14/25:

56% = 56/100 = 14/25

- Divide the percent by 100 to get decimal number.
- Count the number of digits (d) to the right of the decimal point of the decimal number.Example: 2.56 has 2 digits to the right of the decimal point, so d=2.
- Calculate the factor (f) for making the decimal number an integer:
*f*= 10*to power d*

Example:

*f*= 10 power 2 = 100

- Multiply and divide the decimal number x by the factor f:
*x***f*/*f*=*y*/*f*

Example:

2.56 * 100 / 100 = 256 / 100

- Find the greatest common divisor (gcd) of the fraction.
Example:

gcd(256,100) = 4

- Reduce the fraction by dividing the numerator and denominator by the gcd value:
Example:

256 / 100 = (256/4) / (100/4) = 64/25

1% = 1/100

So in order to convert percent to fraction, divide the percent by 100% and reduce the fraction.

For example 56% is equal to 56/100 with gcd=4 is equal to 14/25:

56% = 56/100 = 14/25

Sep 07, 2014 | Office Equipment & Supplies

A mixed number is a number composed of an integer (whole) number and a proper fraction, one that has a numerator less than the denominator. Example 2 1/3 =2+ 1/3. 2 is the integer part, and 1/3 is the proper fraction part.

Certain fractions can be simplified further because the numerator and denominator share a (common) factor. By cancelling the common factor in the numerator with the factor in the denominator,

one gets a fraction with smaller numerator and denominator.

For example the percentage you provide 0.15% can be converted to 15/10000.

Since 15 and 1000 are both multiples of 5, the number 5 is a common factor in both. 15=5*3, and 10000=5*2000

Cancel the two 5 (simplifying by 5) in numerator and denominator leaves 3/2000. Thus

0.15%= 0.15/100=0.0015=3/200

I hope that this makes sense to you.

Certain fractions can be simplified further because the numerator and denominator share a (common) factor. By cancelling the common factor in the numerator with the factor in the denominator,

one gets a fraction with smaller numerator and denominator.

For example the percentage you provide 0.15% can be converted to 15/10000.

Since 15 and 1000 are both multiples of 5, the number 5 is a common factor in both. 15=5*3, and 10000=5*2000

Cancel the two 5 (simplifying by 5) in numerator and denominator leaves 3/2000. Thus

0.15%= 0.15/100=0.0015=3/200

I hope that this makes sense to you.

Sep 04, 2014 | The Learning Company Achieve! Math &...

Do a prime factorization of the two numbers. Use condensed (power) notation for each prime factor.

Example

N1=(2^5)*(3^4)*(7^2)(11^3)

N2=(2^4)*(5^6)*(11)

2 is a factor in N1 and N2, the smallest power of 2 is 4, thus 2^4 is common to N1, and N1. You could write 2^5=2*2^4

11 is a factor in N1, and N2, the smallest exponent of 11 is 1, thus 11 is a common factor of N1 and N2.

Highest common factor of N1 and N2 is (2^4)*11

Example

N1=(2^5)*(3^4)*(7^2)(11^3)

N2=(2^4)*(5^6)*(11)

2 is a factor in N1 and N2, the smallest power of 2 is 4, thus 2^4 is common to N1, and N1. You could write 2^5=2*2^4

11 is a factor in N1, and N2, the smallest exponent of 11 is 1, thus 11 is a common factor of N1 and N2.

Highest common factor of N1 and N2 is (2^4)*11

Sep 02, 2014 | Mathsoft Computers & Internet

There is nothing you can do to make the calculator find the HCF for you. No point complaining about that. But if you are interested in doing it by hand (using the calculator to do the divisions for you) here how it is done.

**Example: **Here are the decompositions of two numbers

(2^5)*3***(5^4)**(7^3)***11** and **(2^3)***(5^6)*(11^2)***7**

The prime factors that are present in both decompositions are

2, 5, 7, and 11

From the two decompositions select the smallest power of each common prime factor. They are represented in** bold font**s.

2^3, 5^4, 7, 11

The highest common divisor/Highest common factor is

**(2^3)*(5^4)*7*11**

- Decompose the first number in prime factors. If a prime factor is repeated use the exponent notation:
**That helps.** **D**ecompose the second number in prime factors too, using the exponent notation.- Now look at the two decompositions. If a prime factor
**is present in both decompositions**it must be in the HCD /HCF, with the smallest of its two exponents. - Do that for all prime factors

(2^5)*3*

The prime factors that are present in both decompositions are

2, 5, 7, and 11

From the two decompositions select the smallest power of each common prime factor. They are represented in

2^3, 5^4, 7, 11

The highest common divisor/Highest common factor is

Mar 27, 2014 | Casio Office Equipment & Supplies

The calculator has no application that will find the highest common divisor (or HCF) but that should not be difficult to do by hand.

Decompose the first number in prime factors. If a prime factor is repeated use the exponent notation:**That helps**

Decompose the second number in prime factors too, using the exponent notation.

Now look at the two decompositions. If a prime factor is present in both decomposition it must be in the HCD /HCF, with the smallest of the two exponents. Do that for all prime factors

Example;

(2^5)*3***(5^4)**(7^3)***11**

**(2^3)***(5^6)*(11^2)***7**

The prime factors that are present in both decompositions are

2, 5, 7, and 11

From the two decompositions select the smallest power of each

2^3, 5^4, 7, 11

The highest common divisor/Highest common factor is

**(2^3)*(5^4)*7*11**

Decompose the first number in prime factors. If a prime factor is repeated use the exponent notation:

Decompose the second number in prime factors too, using the exponent notation.

Now look at the two decompositions. If a prime factor is present in both decomposition it must be in the HCD /HCF, with the smallest of the two exponents. Do that for all prime factors

Example;

(2^5)*3*

The prime factors that are present in both decompositions are

2, 5, 7, and 11

From the two decompositions select the smallest power of each

2^3, 5^4, 7, 11

The highest common divisor/Highest common factor is

Mar 27, 2014 | Casio Office Equipment & Supplies

I don't think there's specific key for this but you can do it this way:

I hope this helps :)

- Divide those 2 numbers for which you want to find gcf
- If you get result as decimal number press keys [2nd][PRB] to display it as fraction
- Also if fraction you get is in form a b/c (ex. 1 2/3) you have to convert it to form d/c (for 1 2/3 that would be 5/3)
- Greatest common factor is then 1st number divided by numerator (or 2nd number divided by denominator)

- You want to find greatest common factor of 30 and 18.
- You divide them: you should get 5/3 (after converting result to fraction of form d/c, as described in steps 2 and 3).
- This means that 30/18=5/3=5x/3x (x is gcf here).
- Now you know that x=30/5=18/3=6 so greatest common factor is 6.

I hope this helps :)

Sep 10, 2011 | Texas Instruments TI-30 XIIS Calculator

Jun 18, 2020 | Office Equipment & Supplies

Dec 02, 2019 | The Office Equipment & Supplies

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