Greatest Common Factor of 7156/472, 2404/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7156/472, 2404/261

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 7156/472,2404/261

Given fractions are 7156/472,2404/261

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 7156,2404

Greatest Common Factor of Numerators i.e. GCF of 7156,2404 is 4 .

LCM of Denominators means LCM of 472,261 as per the given fractions.

LCM of 472,261 is 123192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7156,2404

GCF of Fractions 7156/472,2404/261 is 4/123192

2 7156, 2404
2 3578, 1202
1789, 601

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

Greatest Common Factor of 7156,2404 By Matching Biggest Common Factor Method

Greatest Common Factor of 7156,2404 By Matching Biggest Common Factor Method

Factors of 7156

List of positive integer factors of 7156 that divides 7156 without a remainder.

1,2,4,1789,3578,7156

Factors of 2404

List of positive integer factors of 2404 that divides 2404 without a remainder.

1,2,4,601,1202,2404

Greatest Common Factor

We found the factors 7156,2404 . The biggest common factor number is the GCF number.
So the greatest common factor 7156,2404 is 4.

Lets's calculate LCM of 472,261

Given numbers has no common factors except 1. So, there LCM is their product i.e 123192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/123192

Therefore, the GCF of Fractions 7156/472,2404/261 is 4/123192

Least Common Multiple of 472,261 with GCF Formula

Least Common Multiple of 472,261 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 472,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,261) = 1

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

GCF(472,261) x common factors =1 x 1 = 1

LCM(472,261) = ( 472 × 261 ) / 1

LCM(472,261) = 123192 / 1

LCM(472,261) = 123192


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 7156/472, 2404/261

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 7156/472, 2404/261?

Answer: GCF of Numerators as per given numbers 7156/472, 2404/261 is

GCF of Numerators i.e. for 7156,2404 is 4

LCM of denominators i.e. for 472,261 is 123192.

Thus, GCF of Fractions is 4/123192.Finally, GCF of Fractions for 7156/472, 2404/261 is 4/123192.