Greatest Common Factor of 532/556, 316/934, 138/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 532/556, 316/934, 138/968

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 532/556,316/934,138/968

Given fractions are 532/556,316/934,138/968

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 532,316,138

Greatest Common Factor of Numerators i.e. GCF of 532,316,138 is 2 .

LCM of Denominators means LCM of 556,934,968 as per the given fractions.

LCM of 556,934,968 is 62835784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 532,316,138

GCF of Fractions 532/556,316/934,138/968 is 2/62835784

2 532, 316, 138
266, 158, 69

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 532,316,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,316,138 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 532,316,138 . The biggest common factor number is the GCF number.
So the greatest common factor 532,316,138 is 2.

Lets's calculate LCM of 556,934,968

2 556, 934, 968
2 278, 467, 484
139, 467, 242

∴ So the LCM of the given numbers is 2 x 2 x 139 x 467 x 242 = 62835784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/62835784

Therefore, the GCF of Fractions 532/556,316/934,138/968 is 2/62835784

Least Common Multiple of 556,934,968 with GCF Formula

Least Common Multiple of 556,934,968 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 556,934,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,934,968) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(556,934,968) x common factors =2 x 4 = 8

LCM(556,934,968) = ( 556 × 934 × 968 ) / 8

LCM(556,934,968) = 502686272 / 8

LCM(556,934,968) = 62835784


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 532/556, 316/934, 138/968

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 532/556, 316/934, 138/968?

Answer: GCF of Numerators as per given numbers 532/556, 316/934, 138/968 is

GCF of Numerators i.e. for 532,316,138 is 2

LCM of denominators i.e. for 556,934,968 is 62835784.

Thus, GCF of Fractions is 2/62835784.Finally, GCF of Fractions for 532/556, 316/934, 138/968 is 2/62835784.