Greatest Common Factor of 7596/95, 4872/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7596/95, 4872/291

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 7596/95,4872/291

Given fractions are 7596/95,4872/291

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 7596,4872

Greatest Common Factor of Numerators i.e. GCF of 7596,4872 is 12 .

LCM of Denominators means LCM of 95,291 as per the given fractions.

LCM of 95,291 is 27645 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7596,4872

GCF of Fractions 7596/95,4872/291 is 12/27645

2 7596, 4872
2 3798, 2436
3 1899, 1218
633, 406

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

Greatest Common Factor of 7596,4872 By Matching Biggest Common Factor Method

Greatest Common Factor of 7596,4872 By Matching Biggest Common Factor Method

Factors of 7596

List of positive integer factors of 7596 that divides 7596 without a remainder.

1,2,3,4,6,9,12,18,36,211,422,633,844,1266,1899,2532,3798,7596

Factors of 4872

List of positive integer factors of 4872 that divides 4872 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,29,42,56,58,84,87,116,168,174,203,232,348,406,609,696,812,1218,1624,2436,4872

Greatest Common Factor

We found the factors 7596,4872 . The biggest common factor number is the GCF number.
So the greatest common factor 7596,4872 is 12.

Lets's calculate LCM of 95,291

Given numbers has no common factors except 1. So, there LCM is their product i.e 27645

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/27645

Therefore, the GCF of Fractions 7596/95,4872/291 is 12/27645

Least Common Multiple of 95,291 with GCF Formula

Least Common Multiple of 95,291 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 95,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,291) = 1

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

GCF(95,291) x common factors =1 x 1 = 1

LCM(95,291) = ( 95 × 291 ) / 1

LCM(95,291) = 27645 / 1

LCM(95,291) = 27645


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 7596/95, 4872/291

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 7596/95, 4872/291?

Answer: GCF of Numerators as per given numbers 7596/95, 4872/291 is

GCF of Numerators i.e. for 7596,4872 is 12

LCM of denominators i.e. for 95,291 is 27645.

Thus, GCF of Fractions is 12/27645.Finally, GCF of Fractions for 7596/95, 4872/291 is 12/27645.