Greatest Common Factor of 7372/988, 5711/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7372/988, 5711/666

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 7372/988,5711/666

Given fractions are 7372/988,5711/666

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 7372,5711

Greatest Common Factor of Numerators i.e. GCF of 7372,5711 is 1 .

LCM of Denominators means LCM of 988,666 as per the given fractions.

LCM of 988,666 is 329004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7372,5711

GCF of Fractions 7372/988,5711/666 is 1/329004

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

Greatest Common Factor of 7372,5711 By Matching Biggest Common Factor Method

Greatest Common Factor of 7372,5711 By Matching Biggest Common Factor Method

Factors of 7372

List of positive integer factors of 7372 that divides 7372 without a remainder.

1,2,4,19,38,76,97,194,388,1843,3686,7372

Factors of 5711

List of positive integer factors of 5711 that divides 5711 without a remainder.

1,5711

Greatest Common Factor

We found the factors 7372,5711 . The biggest common factor number is the GCF number.
So the greatest common factor 7372,5711 is 1.

Lets's calculate LCM of 988,666

2 988, 666
494, 333

∴ So the LCM of the given numbers is 2 x 494 x 333 = 329004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329004

Therefore, the GCF of Fractions 7372/988,5711/666 is 1/329004

Least Common Multiple of 988,666 with GCF Formula

Least Common Multiple of 988,666 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 988,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,666) = 2

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

GCF(988,666) x common factors =2 x 1 = 2

LCM(988,666) = ( 988 × 666 ) / 2

LCM(988,666) = 658008 / 2

LCM(988,666) = 329004


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 7372/988, 5711/666

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 7372/988, 5711/666?

Answer: GCF of Numerators as per given numbers 7372/988, 5711/666 is

GCF of Numerators i.e. for 7372,5711 is 1

LCM of denominators i.e. for 988,666 is 329004.

Thus, GCF of Fractions is 1/329004.Finally, GCF of Fractions for 7372/988, 5711/666 is 1/329004.