Greatest Common Factor of 7524/774, 8961/4158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7524/774, 8961/4158

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 7524/774,8961/4158

Given fractions are 7524/774,8961/4158

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 7524,8961

Greatest Common Factor of Numerators i.e. GCF of 7524,8961 is 3 .

LCM of Denominators means LCM of 774,4158 as per the given fractions.

LCM of 774,4158 is 178794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7524,8961

GCF of Fractions 7524/774,8961/4158 is 3/178794

3 7524, 8961
2508, 2987

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7524,8961 By Matching Biggest Common Factor Method

Greatest Common Factor of 7524,8961 By Matching Biggest Common Factor Method

Factors of 7524

List of positive integer factors of 7524 that divides 7524 without a remainder.

1,2,3,4,6,9,11,12,18,19,22,33,36,38,44,57,66,76,99,114,132,171,198,209,228,342,396,418,627,684,836,1254,1881,2508,3762,7524

Factors of 8961

List of positive integer factors of 8961 that divides 8961 without a remainder.

1,3,29,87,103,309,2987,8961

Greatest Common Factor

We found the factors 7524,8961 . The biggest common factor number is the GCF number.
So the greatest common factor 7524,8961 is 3.

Lets's calculate LCM of 774,4158

2 774, 4158
3 387, 2079
3 129, 693
43, 231

∴ So the LCM of the given numbers is 2 x 3 x 3 x 43 x 231 = 178794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/178794

Therefore, the GCF of Fractions 7524/774,8961/4158 is 3/178794

Least Common Multiple of 774,4158 with GCF Formula

Least Common Multiple of 774,4158 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 774,4158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,4158) = 18

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

GCF(774,4158) x common factors =18 x 1 = 18

LCM(774,4158) = ( 774 × 4158 ) / 18

LCM(774,4158) = 3218292 / 18

LCM(774,4158) = 178794


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 7524/774, 8961/4158

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 7524/774, 8961/4158?

Answer: GCF of Numerators as per given numbers 7524/774, 8961/4158 is

GCF of Numerators i.e. for 7524,8961 is 3

LCM of denominators i.e. for 774,4158 is 178794.

Thus, GCF of Fractions is 3/178794.Finally, GCF of Fractions for 7524/774, 8961/4158 is 3/178794.