Greatest Common Factor of 8910/56, 7852/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8910/56, 7852/676

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 8910/56,7852/676

Given fractions are 8910/56,7852/676

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 8910,7852

Greatest Common Factor of Numerators i.e. GCF of 8910,7852 is 2 .

LCM of Denominators means LCM of 56,676 as per the given fractions.

LCM of 56,676 is 9464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8910,7852

GCF of Fractions 8910/56,7852/676 is 2/9464

2 8910, 7852
4455, 3926

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

Greatest Common Factor of 8910,7852 By Matching Biggest Common Factor Method

Greatest Common Factor of 8910,7852 By Matching Biggest Common Factor Method

Factors of 8910

List of positive integer factors of 8910 that divides 8910 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,81,90,99,110,135,162,165,198,270,297,330,405,495,594,810,891,990,1485,1782,2970,4455,8910

Factors of 7852

List of positive integer factors of 7852 that divides 7852 without a remainder.

1,2,4,13,26,52,151,302,604,1963,3926,7852

Greatest Common Factor

We found the factors 8910,7852 . The biggest common factor number is the GCF number.
So the greatest common factor 8910,7852 is 2.

Lets's calculate LCM of 56,676

2 56, 676
2 28, 338
14, 169

∴ So the LCM of the given numbers is 2 x 2 x 14 x 169 = 9464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9464

Therefore, the GCF of Fractions 8910/56,7852/676 is 2/9464

Least Common Multiple of 56,676 with GCF Formula

Least Common Multiple of 56,676 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 56,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,676) = 4

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

GCF(56,676) x common factors =4 x 1 = 4

LCM(56,676) = ( 56 × 676 ) / 4

LCM(56,676) = 37856 / 4

LCM(56,676) = 9464


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 8910/56, 7852/676

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 8910/56, 7852/676?

Answer: GCF of Numerators as per given numbers 8910/56, 7852/676 is

GCF of Numerators i.e. for 8910,7852 is 2

LCM of denominators i.e. for 56,676 is 9464.

Thus, GCF of Fractions is 2/9464.Finally, GCF of Fractions for 8910/56, 7852/676 is 2/9464.