Greatest Common Factor of 8876/87, 3640/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8876/87, 3640/974

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 8876/87,3640/974

Given fractions are 8876/87,3640/974

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 8876,3640

Greatest Common Factor of Numerators i.e. GCF of 8876,3640 is 28 .

LCM of Denominators means LCM of 87,974 as per the given fractions.

LCM of 87,974 is 84738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8876,3640

GCF of Fractions 8876/87,3640/974 is 28/84738

2 8876, 3640
2 4438, 1820
7 2219, 910
317, 130

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 8876,3640 By Matching Biggest Common Factor Method

Greatest Common Factor of 8876,3640 By Matching Biggest Common Factor Method

Factors of 8876

List of positive integer factors of 8876 that divides 8876 without a remainder.

1,2,4,7,14,28,317,634,1268,2219,4438,8876

Factors of 3640

List of positive integer factors of 3640 that divides 3640 without a remainder.

1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640

Greatest Common Factor

We found the factors 8876,3640 . The biggest common factor number is the GCF number.
So the greatest common factor 8876,3640 is 28.

Lets's calculate LCM of 87,974

Given numbers has no common factors except 1. So, there LCM is their product i.e 84738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/84738

Therefore, the GCF of Fractions 8876/87,3640/974 is 28/84738

Least Common Multiple of 87,974 with GCF Formula

Least Common Multiple of 87,974 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 87,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,974) = 1

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

GCF(87,974) x common factors =1 x 1 = 1

LCM(87,974) = ( 87 × 974 ) / 1

LCM(87,974) = 84738 / 1

LCM(87,974) = 84738


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 8876/87, 3640/974

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 8876/87, 3640/974?

Answer: GCF of Numerators as per given numbers 8876/87, 3640/974 is

GCF of Numerators i.e. for 8876,3640 is 28

LCM of denominators i.e. for 87,974 is 84738.

Thus, GCF of Fractions is 28/84738.Finally, GCF of Fractions for 8876/87, 3640/974 is 28/84738.