Greatest Common Factor of 7791/960, 5356/8609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7791/960, 5356/8609

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 7791/960,5356/8609

Given fractions are 7791/960,5356/8609

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 7791,5356

Greatest Common Factor of Numerators i.e. GCF of 7791,5356 is 1 .

LCM of Denominators means LCM of 960,8609 as per the given fractions.

LCM of 960,8609 is 8264640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7791,5356

GCF of Fractions 7791/960,5356/8609 is 1/8264640

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

Greatest Common Factor of 7791,5356 By Matching Biggest Common Factor Method

Greatest Common Factor of 7791,5356 By Matching Biggest Common Factor Method

Factors of 7791

List of positive integer factors of 7791 that divides 7791 without a remainder.

1,3,7,21,49,53,147,159,371,1113,2597,7791

Factors of 5356

List of positive integer factors of 5356 that divides 5356 without a remainder.

1,2,4,13,26,52,103,206,412,1339,2678,5356

Greatest Common Factor

We found the factors 7791,5356 . The biggest common factor number is the GCF number.
So the greatest common factor 7791,5356 is 1.

Lets's calculate LCM of 960,8609

Given numbers has no common factors except 1. So, there LCM is their product i.e 8264640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8264640

Therefore, the GCF of Fractions 7791/960,5356/8609 is 1/8264640

Least Common Multiple of 960,8609 with GCF Formula

Least Common Multiple of 960,8609 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 960,8609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,8609) = 1

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

GCF(960,8609) x common factors =1 x 1 = 1

LCM(960,8609) = ( 960 × 8609 ) / 1

LCM(960,8609) = 8264640 / 1

LCM(960,8609) = 8264640


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 7791/960, 5356/8609

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 7791/960, 5356/8609?

Answer: GCF of Numerators as per given numbers 7791/960, 5356/8609 is

GCF of Numerators i.e. for 7791,5356 is 1

LCM of denominators i.e. for 960,8609 is 8264640.

Thus, GCF of Fractions is 1/8264640.Finally, GCF of Fractions for 7791/960, 5356/8609 is 1/8264640.