Greatest Common Factor of 636/28, 468/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 636/28, 468/321

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 636/28,468/321

Given fractions are 636/28,468/321

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 636,468

Greatest Common Factor of Numerators i.e. GCF of 636,468 is 12 .

LCM of Denominators means LCM of 28,321 as per the given fractions.

LCM of 28,321 is 8988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 636,468

GCF of Fractions 636/28,468/321 is 12/8988

2 636, 468
2 318, 234
3 159, 117
53, 39

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 636,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,468 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 636,468 . The biggest common factor number is the GCF number.
So the greatest common factor 636,468 is 12.

Lets's calculate LCM of 28,321

Given numbers has no common factors except 1. So, there LCM is their product i.e 8988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/8988

Therefore, the GCF of Fractions 636/28,468/321 is 12/8988

Least Common Multiple of 28,321 with GCF Formula

Least Common Multiple of 28,321 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 28,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,321) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(28,321) x common factors =1 x 1 = 1

LCM(28,321) = ( 28 × 321 ) / 1

LCM(28,321) = 8988 / 1

LCM(28,321) = 8988


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 636/28, 468/321

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 636/28, 468/321?

Answer: GCF of Numerators as per given numbers 636/28, 468/321 is

GCF of Numerators i.e. for 636,468 is 12

LCM of denominators i.e. for 28,321 is 8988.

Thus, GCF of Fractions is 12/8988.Finally, GCF of Fractions for 636/28, 468/321 is 12/8988.