Greatest Common Factor of 657/20, 382/86, 637/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 657/20, 382/86, 637/413

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 657/20,382/86,637/413

Given fractions are 657/20,382/86,637/413

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 657,382,637

Greatest Common Factor of Numerators i.e. GCF of 657,382,637 is 1 .

LCM of Denominators means LCM of 20,86,413 as per the given fractions.

LCM of 20,86,413 is 355180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 657,382,637

GCF of Fractions 657/20,382/86,637/413 is 1/355180

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

Greatest Common Factor of 657,382,637 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,382,637 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 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Greatest Common Factor

We found the factors 657,382,637 . The biggest common factor number is the GCF number.
So the greatest common factor 657,382,637 is 1.

Lets's calculate LCM of 20,86,413

2 20, 86, 413
10, 43, 413

∴ So the LCM of the given numbers is 2 x 10 x 43 x 413 = 355180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/355180

Therefore, the GCF of Fractions 657/20,382/86,637/413 is 1/355180

Least Common Multiple of 20,86,413 with GCF Formula

Least Common Multiple of 20,86,413 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 20,86,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,86,413) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(20,86,413) x common factors =1 x 2 = 2

LCM(20,86,413) = ( 20 × 86 × 413 ) / 2

LCM(20,86,413) = 710360 / 2

LCM(20,86,413) = 355180


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 657/20, 382/86, 637/413

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 657/20, 382/86, 637/413?

Answer: GCF of Numerators as per given numbers 657/20, 382/86, 637/413 is

GCF of Numerators i.e. for 657,382,637 is 1

LCM of denominators i.e. for 20,86,413 is 355180.

Thus, GCF of Fractions is 1/355180.Finally, GCF of Fractions for 657/20, 382/86, 637/413 is 1/355180.