Greatest Common Factor of 747/961, 751/108, 820/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 747/961, 751/108, 820/332

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 747/961,751/108,820/332

Given fractions are 747/961,751/108,820/332

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 747,751,820

Greatest Common Factor of Numerators i.e. GCF of 747,751,820 is 1 .

LCM of Denominators means LCM of 961,108,332 as per the given fractions.

LCM of 961,108,332 is 8614404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 747,751,820

GCF of Fractions 747/961,751/108,820/332 is 1/8614404

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

Greatest Common Factor of 747,751,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,751,820 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 747,751,820 . The biggest common factor number is the GCF number.
So the greatest common factor 747,751,820 is 1.

Lets's calculate LCM of 961,108,332

2 961, 108, 332
2 961, 54, 166
961, 27, 83

∴ So the LCM of the given numbers is 2 x 2 x 961 x 27 x 83 = 8614404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8614404

Therefore, the GCF of Fractions 747/961,751/108,820/332 is 1/8614404

Least Common Multiple of 961,108,332 with GCF Formula

Least Common Multiple of 961,108,332 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 961,108,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,108,332) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(961,108,332) x common factors =1 x 4 = 4

LCM(961,108,332) = ( 961 × 108 × 332 ) / 4

LCM(961,108,332) = 34457616 / 4

LCM(961,108,332) = 8614404


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 747/961, 751/108, 820/332

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 747/961, 751/108, 820/332?

Answer: GCF of Numerators as per given numbers 747/961, 751/108, 820/332 is

GCF of Numerators i.e. for 747,751,820 is 1

LCM of denominators i.e. for 961,108,332 is 8614404.

Thus, GCF of Fractions is 1/8614404.Finally, GCF of Fractions for 747/961, 751/108, 820/332 is 1/8614404.