Greatest Common Factor of 7611/663, 8013/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7611/663, 8013/681

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 7611/663,8013/681

Given fractions are 7611/663,8013/681

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 7611,8013

Greatest Common Factor of Numerators i.e. GCF of 7611,8013 is 3 .

LCM of Denominators means LCM of 663,681 as per the given fractions.

LCM of 663,681 is 150501 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7611,8013

GCF of Fractions 7611/663,8013/681 is 3/150501

3 7611, 8013
2537, 2671

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

Greatest Common Factor of 7611,8013 By Matching Biggest Common Factor Method

Greatest Common Factor of 7611,8013 By Matching Biggest Common Factor Method

Factors of 7611

List of positive integer factors of 7611 that divides 7611 without a remainder.

1,3,43,59,129,177,2537,7611

Factors of 8013

List of positive integer factors of 8013 that divides 8013 without a remainder.

1,3,2671,8013

Greatest Common Factor

We found the factors 7611,8013 . The biggest common factor number is the GCF number.
So the greatest common factor 7611,8013 is 3.

Lets's calculate LCM of 663,681

3 663, 681
221, 227

∴ So the LCM of the given numbers is 3 x 221 x 227 = 150501

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/150501

Therefore, the GCF of Fractions 7611/663,8013/681 is 3/150501

Least Common Multiple of 663,681 with GCF Formula

Least Common Multiple of 663,681 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 663,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,681) = 3

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

GCF(663,681) x common factors =3 x 1 = 3

LCM(663,681) = ( 663 × 681 ) / 3

LCM(663,681) = 451503 / 3

LCM(663,681) = 150501


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 7611/663, 8013/681

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 7611/663, 8013/681?

Answer: GCF of Numerators as per given numbers 7611/663, 8013/681 is

GCF of Numerators i.e. for 7611,8013 is 3

LCM of denominators i.e. for 663,681 is 150501.

Thus, GCF of Fractions is 3/150501.Finally, GCF of Fractions for 7611/663, 8013/681 is 3/150501.