Greatest Common Factor of 4011/971, 7539/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4011/971, 7539/653

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 4011/971,7539/653

Given fractions are 4011/971,7539/653

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 4011,7539

Greatest Common Factor of Numerators i.e. GCF of 4011,7539 is 21 .

LCM of Denominators means LCM of 971,653 as per the given fractions.

LCM of 971,653 is 634063 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4011,7539

GCF of Fractions 4011/971,7539/653 is 21/634063

3 4011, 7539
7 1337, 2513
191, 359

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 4011,7539 By Matching Biggest Common Factor Method

Greatest Common Factor of 4011,7539 By Matching Biggest Common Factor Method

Factors of 4011

List of positive integer factors of 4011 that divides 4011 without a remainder.

1,3,7,21,191,573,1337,4011

Factors of 7539

List of positive integer factors of 7539 that divides 7539 without a remainder.

1,3,7,21,359,1077,2513,7539

Greatest Common Factor

We found the factors 4011,7539 . The biggest common factor number is the GCF number.
So the greatest common factor 4011,7539 is 21.

Lets's calculate LCM of 971,653

Given numbers has no common factors except 1. So, there LCM is their product i.e 634063

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/634063

Therefore, the GCF of Fractions 4011/971,7539/653 is 21/634063

Least Common Multiple of 971,653 with GCF Formula

Least Common Multiple of 971,653 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 971,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,653) = 1

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

GCF(971,653) x common factors =1 x 1 = 1

LCM(971,653) = ( 971 × 653 ) / 1

LCM(971,653) = 634063 / 1

LCM(971,653) = 634063


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 4011/971, 7539/653

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 4011/971, 7539/653?

Answer: GCF of Numerators as per given numbers 4011/971, 7539/653 is

GCF of Numerators i.e. for 4011,7539 is 21

LCM of denominators i.e. for 971,653 is 634063.

Thus, GCF of Fractions is 21/634063.Finally, GCF of Fractions for 4011/971, 7539/653 is 21/634063.