Greatest Common Factor of 9657/856, 8678/7984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9657/856, 8678/7984

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 9657/856,8678/7984

Given fractions are 9657/856,8678/7984

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 9657,8678

Greatest Common Factor of Numerators i.e. GCF of 9657,8678 is 1 .

LCM of Denominators means LCM of 856,7984 as per the given fractions.

LCM of 856,7984 is 854288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9657,8678

GCF of Fractions 9657/856,8678/7984 is 1/854288

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9657,8678 By Matching Biggest Common Factor Method

Greatest Common Factor of 9657,8678 By Matching Biggest Common Factor Method

Factors of 9657

List of positive integer factors of 9657 that divides 9657 without a remainder.

1,3,9,29,37,87,111,261,333,1073,3219,9657

Factors of 8678

List of positive integer factors of 8678 that divides 8678 without a remainder.

1,2,4339,8678

Greatest Common Factor

We found the factors 9657,8678 . The biggest common factor number is the GCF number.
So the greatest common factor 9657,8678 is 1.

Lets's calculate LCM of 856,7984

2 856, 7984
2 428, 3992
2 214, 1996
107, 998

∴ So the LCM of the given numbers is 2 x 2 x 2 x 107 x 998 = 854288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/854288

Therefore, the GCF of Fractions 9657/856,8678/7984 is 1/854288

Least Common Multiple of 856,7984 with GCF Formula

Least Common Multiple of 856,7984 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 856,7984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,7984) = 8

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

GCF(856,7984) x common factors =8 x 1 = 8

LCM(856,7984) = ( 856 × 7984 ) / 8

LCM(856,7984) = 6834304 / 8

LCM(856,7984) = 854288


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 9657/856, 8678/7984

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 9657/856, 8678/7984?

Answer: GCF of Numerators as per given numbers 9657/856, 8678/7984 is

GCF of Numerators i.e. for 9657,8678 is 1

LCM of denominators i.e. for 856,7984 is 854288.

Thus, GCF of Fractions is 1/854288.Finally, GCF of Fractions for 9657/856, 8678/7984 is 1/854288.