Greatest Common Factor of 56/82, 147/72, 651/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 56/82, 147/72, 651/826

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 56/82,147/72,651/826

Given fractions are 56/82,147/72,651/826

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 56,147,651

Greatest Common Factor of Numerators i.e. GCF of 56,147,651 is 7 .

LCM of Denominators means LCM of 82,72,826 as per the given fractions.

LCM of 82,72,826 is 1219176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 56,147,651

GCF of Fractions 56/82,147/72,651/826 is 7/1219176

7 56, 147, 651
8, 21, 93

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

Greatest Common Factor of 56,147,651 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,147,651 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Greatest Common Factor

We found the factors 56,147,651 . The biggest common factor number is the GCF number.
So the greatest common factor 56,147,651 is 7.


Lets's calculate LCM of 82,72,826

2 82, 72, 826
41, 36, 413

∴ So the LCM of the given numbers is 2 x 41 x 36 x 413 = 1219176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1219176

Therefore, the GCF of Fractions 56/82,147/72,651/826 is 7/1219176

Least Common Multiple of 82,72,826 with GCF Formula

Least Common Multiple of 82,72,826 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 82,72,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,72,826) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(82,72,826) x common factors =2 x 2 = 4

LCM(82,72,826) = ( 82 × 72 × 826 ) / 4

LCM(82,72,826) = 4876704 / 4

LCM(82,72,826) = 1219176


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 56/82, 147/72, 651/826

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 56/82, 147/72, 651/826?

Answer: GCF of Numerators as per given numbers 56/82, 147/72, 651/826 is

GCF of Numerators i.e. for 56,147,651 is 7

LCM of denominators i.e. for 82,72,826 is 1219176.

Thus, GCF of Fractions is 7/1219176.Finally, GCF of Fractions for 56/82, 147/72, 651/826 is 7/1219176.