Greatest Common Factor of 7972/742, 9976/7857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7972/742, 9976/7857

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 7972/742,9976/7857

Given fractions are 7972/742,9976/7857

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 7972,9976

Greatest Common Factor of Numerators i.e. GCF of 7972,9976 is 4 .

LCM of Denominators means LCM of 742,7857 as per the given fractions.

LCM of 742,7857 is 5829894 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7972,9976

GCF of Fractions 7972/742,9976/7857 is 4/5829894

2 7972, 9976
2 3986, 4988
1993, 2494

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7972,9976 By Matching Biggest Common Factor Method

Greatest Common Factor of 7972,9976 By Matching Biggest Common Factor Method

Factors of 7972

List of positive integer factors of 7972 that divides 7972 without a remainder.

1,2,4,1993,3986,7972

Factors of 9976

List of positive integer factors of 9976 that divides 9976 without a remainder.

1,2,4,8,29,43,58,86,116,172,232,344,1247,2494,4988,9976

Greatest Common Factor

We found the factors 7972,9976 . The biggest common factor number is the GCF number.
So the greatest common factor 7972,9976 is 4.

Lets's calculate LCM of 742,7857

Given numbers has no common factors except 1. So, there LCM is their product i.e 5829894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5829894

Therefore, the GCF of Fractions 7972/742,9976/7857 is 4/5829894

Least Common Multiple of 742,7857 with GCF Formula

Least Common Multiple of 742,7857 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 742,7857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,7857) = 1

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

GCF(742,7857) x common factors =1 x 1 = 1

LCM(742,7857) = ( 742 × 7857 ) / 1

LCM(742,7857) = 5829894 / 1

LCM(742,7857) = 5829894


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 7972/742, 9976/7857

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 7972/742, 9976/7857?

Answer: GCF of Numerators as per given numbers 7972/742, 9976/7857 is

GCF of Numerators i.e. for 7972,9976 is 4

LCM of denominators i.e. for 742,7857 is 5829894.

Thus, GCF of Fractions is 4/5829894.Finally, GCF of Fractions for 7972/742, 9976/7857 is 4/5829894.