Greatest Common Factor of 4312/968, 2364/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4312/968, 2364/156

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 4312/968,2364/156

Given fractions are 4312/968,2364/156

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 4312,2364

Greatest Common Factor of Numerators i.e. GCF of 4312,2364 is 4 .

LCM of Denominators means LCM of 968,156 as per the given fractions.

LCM of 968,156 is 37752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4312,2364

GCF of Fractions 4312/968,2364/156 is 4/37752

2 4312, 2364
2 2156, 1182
1078, 591

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4312,2364 By Matching Biggest Common Factor Method

Greatest Common Factor of 4312,2364 By Matching Biggest Common Factor Method

Factors of 4312

List of positive integer factors of 4312 that divides 4312 without a remainder.

1,2,4,7,8,11,14,22,28,44,49,56,77,88,98,154,196,308,392,539,616,1078,2156,4312

Factors of 2364

List of positive integer factors of 2364 that divides 2364 without a remainder.

1,2,3,4,6,12,197,394,591,788,1182,2364

Greatest Common Factor

We found the factors 4312,2364 . The biggest common factor number is the GCF number.
So the greatest common factor 4312,2364 is 4.

Lets's calculate LCM of 968,156

2 968, 156
2 484, 78
242, 39

∴ So the LCM of the given numbers is 2 x 2 x 242 x 39 = 37752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/37752

Therefore, the GCF of Fractions 4312/968,2364/156 is 4/37752

Least Common Multiple of 968,156 with GCF Formula

Least Common Multiple of 968,156 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 968,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,156) = 4

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

GCF(968,156) x common factors =4 x 1 = 4

LCM(968,156) = ( 968 × 156 ) / 4

LCM(968,156) = 151008 / 4

LCM(968,156) = 37752


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 4312/968, 2364/156

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 4312/968, 2364/156?

Answer: GCF of Numerators as per given numbers 4312/968, 2364/156 is

GCF of Numerators i.e. for 4312,2364 is 4

LCM of denominators i.e. for 968,156 is 37752.

Thus, GCF of Fractions is 4/37752.Finally, GCF of Fractions for 4312/968, 2364/156 is 4/37752.