Greatest Common Factor of 73/789, 961/324, 631/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/789, 961/324, 631/535

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 73/789,961/324,631/535

Given fractions are 73/789,961/324,631/535

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 73,961,631

Greatest Common Factor of Numerators i.e. GCF of 73,961,631 is 1 .

LCM of Denominators means LCM of 789,324,535 as per the given fractions.

LCM of 789,324,535 is 45588420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,961,631

GCF of Fractions 73/789,961/324,631/535 is 1/45588420

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

Greatest Common Factor of 73,961,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,961,631 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Greatest Common Factor

We found the factors 73,961,631 . The biggest common factor number is the GCF number.
So the greatest common factor 73,961,631 is 1.

Lets's calculate LCM of 789,324,535

3 789, 324, 535
263, 108, 535

∴ So the LCM of the given numbers is 3 x 263 x 108 x 535 = 45588420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45588420

Therefore, the GCF of Fractions 73/789,961/324,631/535 is 1/45588420

Least Common Multiple of 789,324,535 with GCF Formula

Least Common Multiple of 789,324,535 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 789,324,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,324,535) = 1

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

GCF(789,324,535) x common factors =1 x 3 = 3

LCM(789,324,535) = ( 789 × 324 × 535 ) / 3

LCM(789,324,535) = 136765260 / 3

LCM(789,324,535) = 45588420


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 73/789, 961/324, 631/535

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 73/789, 961/324, 631/535?

Answer: GCF of Numerators as per given numbers 73/789, 961/324, 631/535 is

GCF of Numerators i.e. for 73,961,631 is 1

LCM of denominators i.e. for 789,324,535 is 45588420.

Thus, GCF of Fractions is 1/45588420.Finally, GCF of Fractions for 73/789, 961/324, 631/535 is 1/45588420.