Greatest Common Factor of 7395/131, 9603/9961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7395/131, 9603/9961

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 7395/131,9603/9961

Given fractions are 7395/131,9603/9961

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 7395,9603

Greatest Common Factor of Numerators i.e. GCF of 7395,9603 is 3 .

LCM of Denominators means LCM of 131,9961 as per the given fractions.

LCM of 131,9961 is 1304891 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7395,9603

GCF of Fractions 7395/131,9603/9961 is 3/1304891

3 7395, 9603
2465, 3201

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7395,9603 By Matching Biggest Common Factor Method

Greatest Common Factor of 7395,9603 By Matching Biggest Common Factor Method

Factors of 7395

List of positive integer factors of 7395 that divides 7395 without a remainder.

1,3,5,15,17,29,51,85,87,145,255,435,493,1479,2465,7395

Factors of 9603

List of positive integer factors of 9603 that divides 9603 without a remainder.

1,3,9,11,33,97,99,291,873,1067,3201,9603

Greatest Common Factor

We found the factors 7395,9603 . The biggest common factor number is the GCF number.
So the greatest common factor 7395,9603 is 3.

Lets's calculate LCM of 131,9961

Given numbers has no common factors except 1. So, there LCM is their product i.e 1304891

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1304891

Therefore, the GCF of Fractions 7395/131,9603/9961 is 3/1304891

Least Common Multiple of 131,9961 with GCF Formula

Least Common Multiple of 131,9961 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 131,9961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,9961) = 1

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

GCF(131,9961) x common factors =1 x 1 = 1

LCM(131,9961) = ( 131 × 9961 ) / 1

LCM(131,9961) = 1304891 / 1

LCM(131,9961) = 1304891


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 7395/131, 9603/9961

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 7395/131, 9603/9961?

Answer: GCF of Numerators as per given numbers 7395/131, 9603/9961 is

GCF of Numerators i.e. for 7395,9603 is 3

LCM of denominators i.e. for 131,9961 is 1304891.

Thus, GCF of Fractions is 3/1304891.Finally, GCF of Fractions for 7395/131, 9603/9961 is 3/1304891.