Greatest Common Factor of 756/369, 123/471, 823/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/369, 123/471, 823/681

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 756/369,123/471,823/681

Given fractions are 756/369,123/471,823/681

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 756,123,823

Greatest Common Factor of Numerators i.e. GCF of 756,123,823 is 1 .

LCM of Denominators means LCM of 369,471,681 as per the given fractions.

LCM of 369,471,681 is 13150791 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,123,823

GCF of Fractions 756/369,123/471,823/681 is 1/13150791

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 756,123,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,123,823 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 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 756,123,823 . The biggest common factor number is the GCF number.
So the greatest common factor 756,123,823 is 1.

Lets's calculate LCM of 369,471,681

3 369, 471, 681
123, 157, 227

∴ So the LCM of the given numbers is 3 x 123 x 157 x 227 = 13150791

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13150791

Therefore, the GCF of Fractions 756/369,123/471,823/681 is 1/13150791

Least Common Multiple of 369,471,681 with GCF Formula

Least Common Multiple of 369,471,681 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 369,471,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,471,681) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(369,471,681) x common factors =3 x 3 = 9

LCM(369,471,681) = ( 369 × 471 × 681 ) / 9

LCM(369,471,681) = 118357119 / 9

LCM(369,471,681) = 13150791


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 756/369, 123/471, 823/681

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 756/369, 123/471, 823/681?

Answer: GCF of Numerators as per given numbers 756/369, 123/471, 823/681 is

GCF of Numerators i.e. for 756,123,823 is 1

LCM of denominators i.e. for 369,471,681 is 13150791.

Thus, GCF of Fractions is 1/13150791.Finally, GCF of Fractions for 756/369, 123/471, 823/681 is 1/13150791.