Greatest Common Factor of 7917/668, 5049/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7917/668, 5049/232

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 7917/668,5049/232

Given fractions are 7917/668,5049/232

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 7917,5049

Greatest Common Factor of Numerators i.e. GCF of 7917,5049 is 3 .

LCM of Denominators means LCM of 668,232 as per the given fractions.

LCM of 668,232 is 38744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7917,5049

GCF of Fractions 7917/668,5049/232 is 3/38744

3 7917, 5049
2639, 1683

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

Greatest Common Factor of 7917,5049 By Matching Biggest Common Factor Method

Greatest Common Factor of 7917,5049 By Matching Biggest Common Factor Method

Factors of 7917

List of positive integer factors of 7917 that divides 7917 without a remainder.

1,3,7,13,21,29,39,87,91,203,273,377,609,1131,2639,7917

Factors of 5049

List of positive integer factors of 5049 that divides 5049 without a remainder.

1,3,9,11,17,27,33,51,99,153,187,297,459,561,1683,5049

Greatest Common Factor

We found the factors 7917,5049 . The biggest common factor number is the GCF number.
So the greatest common factor 7917,5049 is 3.

Lets's calculate LCM of 668,232

2 668, 232
2 334, 116
167, 58

∴ So the LCM of the given numbers is 2 x 2 x 167 x 58 = 38744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/38744

Therefore, the GCF of Fractions 7917/668,5049/232 is 3/38744

Least Common Multiple of 668,232 with GCF Formula

Least Common Multiple of 668,232 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 668,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,232) = 4

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

GCF(668,232) x common factors =4 x 1 = 4

LCM(668,232) = ( 668 × 232 ) / 4

LCM(668,232) = 154976 / 4

LCM(668,232) = 38744


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 7917/668, 5049/232

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 7917/668, 5049/232?

Answer: GCF of Numerators as per given numbers 7917/668, 5049/232 is

GCF of Numerators i.e. for 7917,5049 is 3

LCM of denominators i.e. for 668,232 is 38744.

Thus, GCF of Fractions is 3/38744.Finally, GCF of Fractions for 7917/668, 5049/232 is 3/38744.