Greatest Common Factor of 39/231, 451/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/231, 451/715

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 39/231,451/715

Given fractions are 39/231,451/715

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 39,451

Greatest Common Factor of Numerators i.e. GCF of 39,451 is 1 .

LCM of Denominators means LCM of 231,715 as per the given fractions.

LCM of 231,715 is 15015 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,451

GCF of Fractions 39/231,451/715 is 1/15015

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

Greatest Common Factor of 39,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,451 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Greatest Common Factor

We found the factors 39,451 . The biggest common factor number is the GCF number.
So the greatest common factor 39,451 is 1.

Lets's calculate LCM of 231,715

11 231, 715
21, 65

∴ So the LCM of the given numbers is 11 x 21 x 65 = 15015

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15015

Therefore, the GCF of Fractions 39/231,451/715 is 1/15015

Least Common Multiple of 231,715 with GCF Formula

Least Common Multiple of 231,715 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 231,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,715) = 11

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

GCF(231,715) x common factors =11 x 1 = 11

LCM(231,715) = ( 231 × 715 ) / 11

LCM(231,715) = 165165 / 11

LCM(231,715) = 15015


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 39/231, 451/715

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 39/231, 451/715?

Answer: GCF of Numerators as per given numbers 39/231, 451/715 is

GCF of Numerators i.e. for 39,451 is 1

LCM of denominators i.e. for 231,715 is 15015.

Thus, GCF of Fractions is 1/15015.Finally, GCF of Fractions for 39/231, 451/715 is 1/15015.