Greatest Common Factor of 6692/879, 8925/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6692/879, 8925/276

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 6692/879,8925/276

Given fractions are 6692/879,8925/276

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 6692,8925

Greatest Common Factor of Numerators i.e. GCF of 6692,8925 is 7 .

LCM of Denominators means LCM of 879,276 as per the given fractions.

LCM of 879,276 is 80868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6692,8925

GCF of Fractions 6692/879,8925/276 is 7/80868

7 6692, 8925
956, 1275

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 6692,8925 By Matching Biggest Common Factor Method

Greatest Common Factor of 6692,8925 By Matching Biggest Common Factor Method

Factors of 6692

List of positive integer factors of 6692 that divides 6692 without a remainder.

1,2,4,7,14,28,239,478,956,1673,3346,6692

Factors of 8925

List of positive integer factors of 8925 that divides 8925 without a remainder.

1,3,5,7,15,17,21,25,35,51,75,85,105,119,175,255,357,425,525,595,1275,1785,2975,8925

Greatest Common Factor

We found the factors 6692,8925 . The biggest common factor number is the GCF number.
So the greatest common factor 6692,8925 is 7.

Lets's calculate LCM of 879,276

3 879, 276
293, 92

∴ So the LCM of the given numbers is 3 x 293 x 92 = 80868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/80868

Therefore, the GCF of Fractions 6692/879,8925/276 is 7/80868

Least Common Multiple of 879,276 with GCF Formula

Least Common Multiple of 879,276 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 879,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(879,276) = 3

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

GCF(879,276) x common factors =3 x 1 = 3

LCM(879,276) = ( 879 × 276 ) / 3

LCM(879,276) = 242604 / 3

LCM(879,276) = 80868


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 6692/879, 8925/276

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 6692/879, 8925/276?

Answer: GCF of Numerators as per given numbers 6692/879, 8925/276 is

GCF of Numerators i.e. for 6692,8925 is 7

LCM of denominators i.e. for 879,276 is 80868.

Thus, GCF of Fractions is 7/80868.Finally, GCF of Fractions for 6692/879, 8925/276 is 7/80868.