Greatest Common Factor of 5140/517, 6770/4996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5140/517, 6770/4996

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 5140/517,6770/4996

Given fractions are 5140/517,6770/4996

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 5140,6770

Greatest Common Factor of Numerators i.e. GCF of 5140,6770 is 10 .

LCM of Denominators means LCM of 517,4996 as per the given fractions.

LCM of 517,4996 is 2582932 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5140,6770

GCF of Fractions 5140/517,6770/4996 is 10/2582932

2 5140, 6770
5 2570, 3385
514, 677

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 5140,6770 By Matching Biggest Common Factor Method

Greatest Common Factor of 5140,6770 By Matching Biggest Common Factor Method

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

Factors of 6770

List of positive integer factors of 6770 that divides 6770 without a remainder.

1,2,5,10,677,1354,3385,6770

Greatest Common Factor

We found the factors 5140,6770 . The biggest common factor number is the GCF number.
So the greatest common factor 5140,6770 is 10.

Lets's calculate LCM of 517,4996

Given numbers has no common factors except 1. So, there LCM is their product i.e 2582932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2582932

Therefore, the GCF of Fractions 5140/517,6770/4996 is 10/2582932

Least Common Multiple of 517,4996 with GCF Formula

Least Common Multiple of 517,4996 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 517,4996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,4996) = 1

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

GCF(517,4996) x common factors =1 x 1 = 1

LCM(517,4996) = ( 517 × 4996 ) / 1

LCM(517,4996) = 2582932 / 1

LCM(517,4996) = 2582932


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 5140/517, 6770/4996

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 5140/517, 6770/4996?

Answer: GCF of Numerators as per given numbers 5140/517, 6770/4996 is

GCF of Numerators i.e. for 5140,6770 is 10

LCM of denominators i.e. for 517,4996 is 2582932.

Thus, GCF of Fractions is 10/2582932.Finally, GCF of Fractions for 5140/517, 6770/4996 is 10/2582932.