Greatest Common Factor of 516/331, 9740/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 516/331, 9740/710

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 516/331,9740/710

Given fractions are 516/331,9740/710

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 516,9740

Greatest Common Factor of Numerators i.e. GCF of 516,9740 is 4 .

LCM of Denominators means LCM of 331,710 as per the given fractions.

LCM of 331,710 is 235010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 516,9740

GCF of Fractions 516/331,9740/710 is 4/235010

2 516, 9740
2 258, 4870
129, 2435

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 516,9740 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,9740 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 9740

List of positive integer factors of 9740 that divides 9740 without a remainder.

1,2,4,5,10,20,487,974,1948,2435,4870,9740

Greatest Common Factor

We found the factors 516,9740 . The biggest common factor number is the GCF number.
So the greatest common factor 516,9740 is 4.

Lets's calculate LCM of 331,710

Given numbers has no common factors except 1. So, there LCM is their product i.e 235010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/235010

Therefore, the GCF of Fractions 516/331,9740/710 is 4/235010

Least Common Multiple of 331,710 with GCF Formula

Least Common Multiple of 331,710 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 331,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(331,710) = 1

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

GCF(331,710) x common factors =1 x 1 = 1

LCM(331,710) = ( 331 × 710 ) / 1

LCM(331,710) = 235010 / 1

LCM(331,710) = 235010


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 516/331, 9740/710

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 516/331, 9740/710?

Answer: GCF of Numerators as per given numbers 516/331, 9740/710 is

GCF of Numerators i.e. for 516,9740 is 4

LCM of denominators i.e. for 331,710 is 235010.

Thus, GCF of Fractions is 4/235010.Finally, GCF of Fractions for 516/331, 9740/710 is 4/235010.