Greatest Common Factor of 9397/96, 7416/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9397/96, 7416/940

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 9397/96,7416/940

Given fractions are 9397/96,7416/940

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 9397,7416

Greatest Common Factor of Numerators i.e. GCF of 9397,7416 is 1 .

LCM of Denominators means LCM of 96,940 as per the given fractions.

LCM of 96,940 is 22560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9397,7416

GCF of Fractions 9397/96,7416/940 is 1/22560

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

Greatest Common Factor of 9397,7416 By Matching Biggest Common Factor Method

Greatest Common Factor of 9397,7416 By Matching Biggest Common Factor Method

Factors of 9397

List of positive integer factors of 9397 that divides 9397 without a remainder.

1,9397

Factors of 7416

List of positive integer factors of 7416 that divides 7416 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,103,206,309,412,618,824,927,1236,1854,2472,3708,7416

Greatest Common Factor

We found the factors 9397,7416 . The biggest common factor number is the GCF number.
So the greatest common factor 9397,7416 is 1.

Lets's calculate LCM of 96,940

2 96, 940
2 48, 470
24, 235

∴ So the LCM of the given numbers is 2 x 2 x 24 x 235 = 22560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22560

Therefore, the GCF of Fractions 9397/96,7416/940 is 1/22560

Least Common Multiple of 96,940 with GCF Formula

Least Common Multiple of 96,940 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 96,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,940) = 4

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

GCF(96,940) x common factors =4 x 1 = 4

LCM(96,940) = ( 96 × 940 ) / 4

LCM(96,940) = 90240 / 4

LCM(96,940) = 22560


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 9397/96, 7416/940

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 9397/96, 7416/940?

Answer: GCF of Numerators as per given numbers 9397/96, 7416/940 is

GCF of Numerators i.e. for 9397,7416 is 1

LCM of denominators i.e. for 96,940 is 22560.

Thus, GCF of Fractions is 1/22560.Finally, GCF of Fractions for 9397/96, 7416/940 is 1/22560.