Greatest Common Factor of 2501/969, 9637/7041

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2501/969, 9637/7041

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 2501/969,9637/7041

Given fractions are 2501/969,9637/7041

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 2501,9637

Greatest Common Factor of Numerators i.e. GCF of 2501,9637 is 1 .

LCM of Denominators means LCM of 969,7041 as per the given fractions.

LCM of 969,7041 is 2274243 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2501,9637

GCF of Fractions 2501/969,9637/7041 is 1/2274243

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

Greatest Common Factor of 2501,9637 By Matching Biggest Common Factor Method

Greatest Common Factor of 2501,9637 By Matching Biggest Common Factor Method

Factors of 2501

List of positive integer factors of 2501 that divides 2501 without a remainder.

1,41,61,2501

Factors of 9637

List of positive integer factors of 9637 that divides 9637 without a remainder.

1,23,419,9637

Greatest Common Factor

We found the factors 2501,9637 . The biggest common factor number is the GCF number.
So the greatest common factor 2501,9637 is 1.

Lets's calculate LCM of 969,7041

3 969, 7041
323, 2347

∴ So the LCM of the given numbers is 3 x 323 x 2347 = 2274243

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2274243

Therefore, the GCF of Fractions 2501/969,9637/7041 is 1/2274243

Least Common Multiple of 969,7041 with GCF Formula

Least Common Multiple of 969,7041 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 969,7041 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,7041) = 3

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

GCF(969,7041) x common factors =3 x 1 = 3

LCM(969,7041) = ( 969 × 7041 ) / 3

LCM(969,7041) = 6822729 / 3

LCM(969,7041) = 2274243


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 2501/969, 9637/7041

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 2501/969, 9637/7041?

Answer: GCF of Numerators as per given numbers 2501/969, 9637/7041 is

GCF of Numerators i.e. for 2501,9637 is 1

LCM of denominators i.e. for 969,7041 is 2274243.

Thus, GCF of Fractions is 1/2274243.Finally, GCF of Fractions for 2501/969, 9637/7041 is 1/2274243.