Greatest Common Factor of 8081/721, 7016/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8081/721, 7016/961

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 8081/721,7016/961

Given fractions are 8081/721,7016/961

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 8081,7016

Greatest Common Factor of Numerators i.e. GCF of 8081,7016 is 1 .

LCM of Denominators means LCM of 721,961 as per the given fractions.

LCM of 721,961 is 692881 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8081,7016

GCF of Fractions 8081/721,7016/961 is 1/692881

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

Greatest Common Factor of 8081,7016 By Matching Biggest Common Factor Method

Greatest Common Factor of 8081,7016 By Matching Biggest Common Factor Method

Factors of 8081

List of positive integer factors of 8081 that divides 8081 without a remainder.

1,8081

Factors of 7016

List of positive integer factors of 7016 that divides 7016 without a remainder.

1,2,4,8,877,1754,3508,7016

Greatest Common Factor

We found the factors 8081,7016 . The biggest common factor number is the GCF number.
So the greatest common factor 8081,7016 is 1.

Lets's calculate LCM of 721,961

Given numbers has no common factors except 1. So, there LCM is their product i.e 692881

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/692881

Therefore, the GCF of Fractions 8081/721,7016/961 is 1/692881

Least Common Multiple of 721,961 with GCF Formula

Least Common Multiple of 721,961 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 721,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,961) = 1

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

GCF(721,961) x common factors =1 x 1 = 1

LCM(721,961) = ( 721 × 961 ) / 1

LCM(721,961) = 692881 / 1

LCM(721,961) = 692881


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 8081/721, 7016/961

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 8081/721, 7016/961?

Answer: GCF of Numerators as per given numbers 8081/721, 7016/961 is

GCF of Numerators i.e. for 8081,7016 is 1

LCM of denominators i.e. for 721,961 is 692881.

Thus, GCF of Fractions is 1/692881.Finally, GCF of Fractions for 8081/721, 7016/961 is 1/692881.