Greatest Common Factor of 512/75, 973/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 512/75, 973/747

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 512/75,973/747

Given fractions are 512/75,973/747

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 512,973

Greatest Common Factor of Numerators i.e. GCF of 512,973 is 1 .

LCM of Denominators means LCM of 75,747 as per the given fractions.

LCM of 75,747 is 18675 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 512,973

GCF of Fractions 512/75,973/747 is 1/18675

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

Greatest Common Factor of 512,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,973 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 512,973 . The biggest common factor number is the GCF number.
So the greatest common factor 512,973 is 1.

Lets's calculate LCM of 75,747

3 75, 747
25, 249

∴ So the LCM of the given numbers is 3 x 25 x 249 = 18675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18675

Therefore, the GCF of Fractions 512/75,973/747 is 1/18675

Least Common Multiple of 75,747 with GCF Formula

Least Common Multiple of 75,747 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 75,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,747) = 3

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

GCF(75,747) x common factors =3 x 1 = 3

LCM(75,747) = ( 75 × 747 ) / 3

LCM(75,747) = 56025 / 3

LCM(75,747) = 18675


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 512/75, 973/747

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 512/75, 973/747?

Answer: GCF of Numerators as per given numbers 512/75, 973/747 is

GCF of Numerators i.e. for 512,973 is 1

LCM of denominators i.e. for 75,747 is 18675.

Thus, GCF of Fractions is 1/18675.Finally, GCF of Fractions for 512/75, 973/747 is 1/18675.