Greatest Common Factor of 7921/72, 5757/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7921/72, 5757/996

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 7921/72,5757/996

Given fractions are 7921/72,5757/996

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 7921,5757

Greatest Common Factor of Numerators i.e. GCF of 7921,5757 is 1 .

LCM of Denominators means LCM of 72,996 as per the given fractions.

LCM of 72,996 is 5976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7921,5757

GCF of Fractions 7921/72,5757/996 is 1/5976

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

Greatest Common Factor of 7921,5757 By Matching Biggest Common Factor Method

Greatest Common Factor of 7921,5757 By Matching Biggest Common Factor Method

Factors of 7921

List of positive integer factors of 7921 that divides 7921 without a remainder.

1,89,7921

Factors of 5757

List of positive integer factors of 5757 that divides 5757 without a remainder.

1,3,19,57,101,303,1919,5757

Greatest Common Factor

We found the factors 7921,5757 . The biggest common factor number is the GCF number.
So the greatest common factor 7921,5757 is 1.

Lets's calculate LCM of 72,996

2 72, 996
2 36, 498
3 18, 249
6, 83

∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 83 = 5976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5976

Therefore, the GCF of Fractions 7921/72,5757/996 is 1/5976

Least Common Multiple of 72,996 with GCF Formula

Least Common Multiple of 72,996 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 72,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,996) = 12

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

GCF(72,996) x common factors =12 x 1 = 12

LCM(72,996) = ( 72 × 996 ) / 12

LCM(72,996) = 71712 / 12

LCM(72,996) = 5976


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 7921/72, 5757/996

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 7921/72, 5757/996?

Answer: GCF of Numerators as per given numbers 7921/72, 5757/996 is

GCF of Numerators i.e. for 7921,5757 is 1

LCM of denominators i.e. for 72,996 is 5976.

Thus, GCF of Fractions is 1/5976.Finally, GCF of Fractions for 7921/72, 5757/996 is 1/5976.