Greatest Common Factor of 8757/96, 7416/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8757/96, 7416/407

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 8757/96,7416/407

Given fractions are 8757/96,7416/407

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 8757,7416

Greatest Common Factor of Numerators i.e. GCF of 8757,7416 is 9 .

LCM of Denominators means LCM of 96,407 as per the given fractions.

LCM of 96,407 is 39072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8757,7416

GCF of Fractions 8757/96,7416/407 is 9/39072

3 8757, 7416
3 2919, 2472
973, 824

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 8757,7416 By Matching Biggest Common Factor Method

Greatest Common Factor of 8757,7416 By Matching Biggest Common Factor Method

Factors of 8757

List of positive integer factors of 8757 that divides 8757 without a remainder.

1,3,7,9,21,63,139,417,973,1251,2919,8757

Factors of 7416

List of positive integer factors of 7416 that divides 7416 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,103,206,309,412,618,824,927,1236,1854,2472,3708,7416

Greatest Common Factor

We found the factors 8757,7416 . The biggest common factor number is the GCF number.
So the greatest common factor 8757,7416 is 9.

Lets's calculate LCM of 96,407

Given numbers has no common factors except 1. So, there LCM is their product i.e 39072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/39072

Therefore, the GCF of Fractions 8757/96,7416/407 is 9/39072

Least Common Multiple of 96,407 with GCF Formula

Least Common Multiple of 96,407 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 96,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,407) = 1

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

GCF(96,407) x common factors =1 x 1 = 1

LCM(96,407) = ( 96 × 407 ) / 1

LCM(96,407) = 39072 / 1

LCM(96,407) = 39072


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 8757/96, 7416/407

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 8757/96, 7416/407?

Answer: GCF of Numerators as per given numbers 8757/96, 7416/407 is

GCF of Numerators i.e. for 8757,7416 is 9

LCM of denominators i.e. for 96,407 is 39072.

Thus, GCF of Fractions is 9/39072.Finally, GCF of Fractions for 8757/96, 7416/407 is 9/39072.