Greatest Common Factor of 379/921, 215/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 379/921, 215/513

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 379/921,215/513

Given fractions are 379/921,215/513

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 379,215

Greatest Common Factor of Numerators i.e. GCF of 379,215 is 1 .

LCM of Denominators means LCM of 921,513 as per the given fractions.

LCM of 921,513 is 157491 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 379,215

GCF of Fractions 379/921,215/513 is 1/157491

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

Greatest Common Factor of 379,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,215 By Matching Biggest Common Factor Method

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 379,215 . The biggest common factor number is the GCF number.
So the greatest common factor 379,215 is 1.

Lets's calculate LCM of 921,513

3 921, 513
307, 171

∴ So the LCM of the given numbers is 3 x 307 x 171 = 157491

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157491

Therefore, the GCF of Fractions 379/921,215/513 is 1/157491

Least Common Multiple of 921,513 with GCF Formula

Least Common Multiple of 921,513 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 921,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,513) = 3

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

GCF(921,513) x common factors =3 x 1 = 3

LCM(921,513) = ( 921 × 513 ) / 3

LCM(921,513) = 472473 / 3

LCM(921,513) = 157491


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 379/921, 215/513

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 379/921, 215/513?

Answer: GCF of Numerators as per given numbers 379/921, 215/513 is

GCF of Numerators i.e. for 379,215 is 1

LCM of denominators i.e. for 921,513 is 157491.

Thus, GCF of Fractions is 1/157491.Finally, GCF of Fractions for 379/921, 215/513 is 1/157491.