Greatest Common Factor of 96/718, 618/631, 973/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 96/718, 618/631, 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 96/718,618/631,973/747

Given fractions are 96/718,618/631,973/747

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 96,618,973

Greatest Common Factor of Numerators i.e. GCF of 96,618,973 is 1 .

LCM of Denominators means LCM of 718,631,747 as per the given fractions.

LCM of 718,631,747 is 338434326 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,618,973

GCF of Fractions 96/718,618/631,973/747 is 1/338434326

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

Greatest Common Factor of 96,618,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,618,973 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

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 96,618,973 . The biggest common factor number is the GCF number.
So the greatest common factor 96,618,973 is 1.


Lets's calculate LCM of 718,631,747

Given numbers has no common factors except 1. So, there LCM is their product i.e 338434326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/338434326

Therefore, the GCF of Fractions 96/718,618/631,973/747 is 1/338434326

Least Common Multiple of 718,631,747 with GCF Formula

Least Common Multiple of 718,631,747 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 718,631,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,631,747) = 1

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

GCF(718,631,747) x common factors =1 x 1 = 1

LCM(718,631,747) = ( 718 × 631 × 747 ) / 1

LCM(718,631,747) = 338434326 / 1

LCM(718,631,747) = 338434326


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 96/718, 618/631, 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 96/718, 618/631, 973/747?

Answer: GCF of Numerators as per given numbers 96/718, 618/631, 973/747 is

GCF of Numerators i.e. for 96,618,973 is 1

LCM of denominators i.e. for 718,631,747 is 338434326.

Thus, GCF of Fractions is 1/338434326.Finally, GCF of Fractions for 96/718, 618/631, 973/747 is 1/338434326.