Greatest Common Factor of 771/717, 5140/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 771/717, 5140/961

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 771/717,5140/961

Given fractions are 771/717,5140/961

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 771,5140

Greatest Common Factor of Numerators i.e. GCF of 771,5140 is 257 .

LCM of Denominators means LCM of 717,961 as per the given fractions.

LCM of 717,961 is 689037 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 771,5140

GCF of Fractions 771/717,5140/961 is 257/689037

257 771, 5140
3, 20

∴ So the GCF of the given numbers is 257 = 257

Greatest Common Factor of 771,5140 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,5140 By Matching Biggest Common Factor Method

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 5140

List of positive integer factors of 5140 that divides 5140 without a remainder.

1,2,4,5,10,20,257,514,1028,1285,2570,5140

Greatest Common Factor

We found the factors 771,5140 . The biggest common factor number is the GCF number.
So the greatest common factor 771,5140 is 257.

Lets's calculate LCM of 717,961

Given numbers has no common factors except 1. So, there LCM is their product i.e 689037

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 257/689037

Therefore, the GCF of Fractions 771/717,5140/961 is 257/689037

Least Common Multiple of 717,961 with GCF Formula

Least Common Multiple of 717,961 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 717,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,961) = 1

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

GCF(717,961) x common factors =1 x 1 = 1

LCM(717,961) = ( 717 × 961 ) / 1

LCM(717,961) = 689037 / 1

LCM(717,961) = 689037


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 771/717, 5140/961

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 771/717, 5140/961?

Answer: GCF of Numerators as per given numbers 771/717, 5140/961 is

GCF of Numerators i.e. for 771,5140 is 257

LCM of denominators i.e. for 717,961 is 689037.

Thus, GCF of Fractions is 257/689037.Finally, GCF of Fractions for 771/717, 5140/961 is 257/689037.