Greatest Common Factor of 657/72, 397/6758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 657/72, 397/6758

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 657/72,397/6758

Given fractions are 657/72,397/6758

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 657,397

Greatest Common Factor of Numerators i.e. GCF of 657,397 is 1 .

LCM of Denominators means LCM of 72,6758 as per the given fractions.

LCM of 72,6758 is 243288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 657,397

GCF of Fractions 657/72,397/6758 is 1/243288

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

Greatest Common Factor of 657,397 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,397 By Matching Biggest Common Factor Method

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Greatest Common Factor

We found the factors 657,397 . The biggest common factor number is the GCF number.
So the greatest common factor 657,397 is 1.

Lets's calculate LCM of 72,6758

2 72, 6758
36, 3379

∴ So the LCM of the given numbers is 2 x 36 x 3379 = 243288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243288

Therefore, the GCF of Fractions 657/72,397/6758 is 1/243288

Least Common Multiple of 72,6758 with GCF Formula

Least Common Multiple of 72,6758 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 72,6758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,6758) = 2

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

GCF(72,6758) x common factors =2 x 1 = 2

LCM(72,6758) = ( 72 × 6758 ) / 2

LCM(72,6758) = 486576 / 2

LCM(72,6758) = 243288


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 657/72, 397/6758

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 657/72, 397/6758?

Answer: GCF of Numerators as per given numbers 657/72, 397/6758 is

GCF of Numerators i.e. for 657,397 is 1

LCM of denominators i.e. for 72,6758 is 243288.

Thus, GCF of Fractions is 1/243288.Finally, GCF of Fractions for 657/72, 397/6758 is 1/243288.