Greatest Common Factor of 312/876, 6758/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 312/876, 6758/642

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 312/876,6758/642

Given fractions are 312/876,6758/642

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 312,6758

Greatest Common Factor of Numerators i.e. GCF of 312,6758 is 2 .

LCM of Denominators means LCM of 876,642 as per the given fractions.

LCM of 876,642 is 93732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 312,6758

GCF of Fractions 312/876,6758/642 is 2/93732

2 312, 6758
156, 3379

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

Greatest Common Factor of 312,6758 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,6758 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 6758

List of positive integer factors of 6758 that divides 6758 without a remainder.

1,2,31,62,109,218,3379,6758

Greatest Common Factor

We found the factors 312,6758 . The biggest common factor number is the GCF number.
So the greatest common factor 312,6758 is 2.

Lets's calculate LCM of 876,642

2 876, 642
3 438, 321
146, 107

∴ So the LCM of the given numbers is 2 x 3 x 146 x 107 = 93732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/93732

Therefore, the GCF of Fractions 312/876,6758/642 is 2/93732

Least Common Multiple of 876,642 with GCF Formula

Least Common Multiple of 876,642 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 876,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,642) = 6

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

GCF(876,642) x common factors =6 x 1 = 6

LCM(876,642) = ( 876 × 642 ) / 6

LCM(876,642) = 562392 / 6

LCM(876,642) = 93732


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 312/876, 6758/642

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 312/876, 6758/642?

Answer: GCF of Numerators as per given numbers 312/876, 6758/642 is

GCF of Numerators i.e. for 312,6758 is 2

LCM of denominators i.e. for 876,642 is 93732.

Thus, GCF of Fractions is 2/93732.Finally, GCF of Fractions for 312/876, 6758/642 is 2/93732.