Greatest Common Factor of 8976/354, 8709/376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8976/354, 8709/376

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 8976/354,8709/376

Given fractions are 8976/354,8709/376

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 8976,8709

Greatest Common Factor of Numerators i.e. GCF of 8976,8709 is 3 .

LCM of Denominators means LCM of 354,376 as per the given fractions.

LCM of 354,376 is 66552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8976,8709

GCF of Fractions 8976/354,8709/376 is 3/66552

3 8976, 8709
2992, 2903

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

Greatest Common Factor of 8976,8709 By Matching Biggest Common Factor Method

Greatest Common Factor of 8976,8709 By Matching Biggest Common Factor Method

Factors of 8976

List of positive integer factors of 8976 that divides 8976 without a remainder.

1,2,3,4,6,8,11,12,16,17,22,24,33,34,44,48,51,66,68,88,102,132,136,176,187,204,264,272,374,408,528,561,748,816,1122,1496,2244,2992,4488,8976

Factors of 8709

List of positive integer factors of 8709 that divides 8709 without a remainder.

1,3,2903,8709

Greatest Common Factor

We found the factors 8976,8709 . The biggest common factor number is the GCF number.
So the greatest common factor 8976,8709 is 3.

Lets's calculate LCM of 354,376

2 354, 376
177, 188

∴ So the LCM of the given numbers is 2 x 177 x 188 = 66552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/66552

Therefore, the GCF of Fractions 8976/354,8709/376 is 3/66552

Least Common Multiple of 354,376 with GCF Formula

Least Common Multiple of 354,376 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 354,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,376) = 2

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

GCF(354,376) x common factors =2 x 1 = 2

LCM(354,376) = ( 354 × 376 ) / 2

LCM(354,376) = 133104 / 2

LCM(354,376) = 66552


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 8976/354, 8709/376

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 8976/354, 8709/376?

Answer: GCF of Numerators as per given numbers 8976/354, 8709/376 is

GCF of Numerators i.e. for 8976,8709 is 3

LCM of denominators i.e. for 354,376 is 66552.

Thus, GCF of Fractions is 3/66552.Finally, GCF of Fractions for 8976/354, 8709/376 is 3/66552.