Greatest Common Factor of 8517/44, 6684/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8517/44, 6684/292

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 8517/44,6684/292

Given fractions are 8517/44,6684/292

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 8517,6684

Greatest Common Factor of Numerators i.e. GCF of 8517,6684 is 3 .

LCM of Denominators means LCM of 44,292 as per the given fractions.

LCM of 44,292 is 3212 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8517,6684

GCF of Fractions 8517/44,6684/292 is 3/3212

3 8517, 6684
2839, 2228

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

Greatest Common Factor of 8517,6684 By Matching Biggest Common Factor Method

Greatest Common Factor of 8517,6684 By Matching Biggest Common Factor Method

Factors of 8517

List of positive integer factors of 8517 that divides 8517 without a remainder.

1,3,17,51,167,501,2839,8517

Factors of 6684

List of positive integer factors of 6684 that divides 6684 without a remainder.

1,2,3,4,6,12,557,1114,1671,2228,3342,6684

Greatest Common Factor

We found the factors 8517,6684 . The biggest common factor number is the GCF number.
So the greatest common factor 8517,6684 is 3.

Lets's calculate LCM of 44,292

2 44, 292
2 22, 146
11, 73

∴ So the LCM of the given numbers is 2 x 2 x 11 x 73 = 3212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3212

Therefore, the GCF of Fractions 8517/44,6684/292 is 3/3212

Least Common Multiple of 44,292 with GCF Formula

Least Common Multiple of 44,292 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 44,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,292) = 4

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

GCF(44,292) x common factors =4 x 1 = 4

LCM(44,292) = ( 44 × 292 ) / 4

LCM(44,292) = 12848 / 4

LCM(44,292) = 3212


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 8517/44, 6684/292

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 8517/44, 6684/292?

Answer: GCF of Numerators as per given numbers 8517/44, 6684/292 is

GCF of Numerators i.e. for 8517,6684 is 3

LCM of denominators i.e. for 44,292 is 3212.

Thus, GCF of Fractions is 3/3212.Finally, GCF of Fractions for 8517/44, 6684/292 is 3/3212.