Greatest Common Factor of 756/528, 721/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/528, 721/302

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 756/528,721/302

Given fractions are 756/528,721/302

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 756,721

Greatest Common Factor of Numerators i.e. GCF of 756,721 is 7 .

LCM of Denominators means LCM of 528,302 as per the given fractions.

LCM of 528,302 is 79728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,721

GCF of Fractions 756/528,721/302 is 7/79728

7 756, 721
108, 103

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 756,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,721 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 756,721 . The biggest common factor number is the GCF number.
So the greatest common factor 756,721 is 7.

Lets's calculate LCM of 528,302

2 528, 302
264, 151

∴ So the LCM of the given numbers is 2 x 264 x 151 = 79728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/79728

Therefore, the GCF of Fractions 756/528,721/302 is 7/79728

Least Common Multiple of 528,302 with GCF Formula

Least Common Multiple of 528,302 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 528,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,302) = 2

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

GCF(528,302) x common factors =2 x 1 = 2

LCM(528,302) = ( 528 × 302 ) / 2

LCM(528,302) = 159456 / 2

LCM(528,302) = 79728


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 756/528, 721/302

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 756/528, 721/302?

Answer: GCF of Numerators as per given numbers 756/528, 721/302 is

GCF of Numerators i.e. for 756,721 is 7

LCM of denominators i.e. for 528,302 is 79728.

Thus, GCF of Fractions is 7/79728.Finally, GCF of Fractions for 756/528, 721/302 is 7/79728.