Greatest Common Factor of 766/520, 3270/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 766/520, 3270/970

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 766/520,3270/970

Given fractions are 766/520,3270/970

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 766,3270

Greatest Common Factor of Numerators i.e. GCF of 766,3270 is 2 .

LCM of Denominators means LCM of 520,970 as per the given fractions.

LCM of 520,970 is 50440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 766,3270

GCF of Fractions 766/520,3270/970 is 2/50440

2 766, 3270
383, 1635

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

Greatest Common Factor of 766,3270 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,3270 By Matching Biggest Common Factor Method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 3270

List of positive integer factors of 3270 that divides 3270 without a remainder.

1,2,3,5,6,10,15,30,109,218,327,545,654,1090,1635,3270

Greatest Common Factor

We found the factors 766,3270 . The biggest common factor number is the GCF number.
So the greatest common factor 766,3270 is 2.

Lets's calculate LCM of 520,970

2 520, 970
5 260, 485
52, 97

∴ So the LCM of the given numbers is 2 x 5 x 52 x 97 = 50440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50440

Therefore, the GCF of Fractions 766/520,3270/970 is 2/50440

Least Common Multiple of 520,970 with GCF Formula

Least Common Multiple of 520,970 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 520,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,970) = 10

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

GCF(520,970) x common factors =10 x 1 = 10

LCM(520,970) = ( 520 × 970 ) / 10

LCM(520,970) = 504400 / 10

LCM(520,970) = 50440


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 766/520, 3270/970

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 766/520, 3270/970?

Answer: GCF of Numerators as per given numbers 766/520, 3270/970 is

GCF of Numerators i.e. for 766,3270 is 2

LCM of denominators i.e. for 520,970 is 50440.

Thus, GCF of Fractions is 2/50440.Finally, GCF of Fractions for 766/520, 3270/970 is 2/50440.