Greatest Common Factor of 3976/643, 7491/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3976/643, 7491/856

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 3976/643,7491/856

Given fractions are 3976/643,7491/856

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 3976,7491

Greatest Common Factor of Numerators i.e. GCF of 3976,7491 is 1 .

LCM of Denominators means LCM of 643,856 as per the given fractions.

LCM of 643,856 is 550408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3976,7491

GCF of Fractions 3976/643,7491/856 is 1/550408

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3976,7491 By Matching Biggest Common Factor Method

Greatest Common Factor of 3976,7491 By Matching Biggest Common Factor Method

Factors of 3976

List of positive integer factors of 3976 that divides 3976 without a remainder.

1,2,4,7,8,14,28,56,71,142,284,497,568,994,1988,3976

Factors of 7491

List of positive integer factors of 7491 that divides 7491 without a remainder.

1,3,11,33,227,681,2497,7491

Greatest Common Factor

We found the factors 3976,7491 . The biggest common factor number is the GCF number.
So the greatest common factor 3976,7491 is 1.

Lets's calculate LCM of 643,856

Given numbers has no common factors except 1. So, there LCM is their product i.e 550408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/550408

Therefore, the GCF of Fractions 3976/643,7491/856 is 1/550408

Least Common Multiple of 643,856 with GCF Formula

Least Common Multiple of 643,856 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 643,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,856) = 1

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

GCF(643,856) x common factors =1 x 1 = 1

LCM(643,856) = ( 643 × 856 ) / 1

LCM(643,856) = 550408 / 1

LCM(643,856) = 550408


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 3976/643, 7491/856

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 3976/643, 7491/856?

Answer: GCF of Numerators as per given numbers 3976/643, 7491/856 is

GCF of Numerators i.e. for 3976,7491 is 1

LCM of denominators i.e. for 643,856 is 550408.

Thus, GCF of Fractions is 1/550408.Finally, GCF of Fractions for 3976/643, 7491/856 is 1/550408.