Greatest Common Factor of 756/76, 264/65, 972/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/76, 264/65, 972/825

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 756/76,264/65,972/825

Given fractions are 756/76,264/65,972/825

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 756,264,972

Greatest Common Factor of Numerators i.e. GCF of 756,264,972 is 12 .

LCM of Denominators means LCM of 76,65,825 as per the given fractions.

LCM of 76,65,825 is 815100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,264,972

GCF of Fractions 756/76,264/65,972/825 is 12/815100

2 756, 264, 972
2 378, 132, 486
3 189, 66, 243
63, 22, 81

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 756,264,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,264,972 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 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 756,264,972 . The biggest common factor number is the GCF number.
So the greatest common factor 756,264,972 is 12.

Lets's calculate LCM of 76,65,825

5 76, 65, 825
76, 13, 165

∴ So the LCM of the given numbers is 5 x 76 x 13 x 165 = 815100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/815100

Therefore, the GCF of Fractions 756/76,264/65,972/825 is 12/815100

Least Common Multiple of 76,65,825 with GCF Formula

Least Common Multiple of 76,65,825 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 76,65,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,65,825) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(76,65,825) x common factors =1 x 5 = 5

LCM(76,65,825) = ( 76 × 65 × 825 ) / 5

LCM(76,65,825) = 4075500 / 5

LCM(76,65,825) = 815100


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 756/76, 264/65, 972/825

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 756/76, 264/65, 972/825?

Answer: GCF of Numerators as per given numbers 756/76, 264/65, 972/825 is

GCF of Numerators i.e. for 756,264,972 is 12

LCM of denominators i.e. for 76,65,825 is 815100.

Thus, GCF of Fractions is 12/815100.Finally, GCF of Fractions for 756/76, 264/65, 972/825 is 12/815100.