Greatest Common Factor of 715/47, 339/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 715/47, 339/272

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 715/47,339/272

Given fractions are 715/47,339/272

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 715,339

Greatest Common Factor of Numerators i.e. GCF of 715,339 is 1 .

LCM of Denominators means LCM of 47,272 as per the given fractions.

LCM of 47,272 is 12784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 715,339

GCF of Fractions 715/47,339/272 is 1/12784

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

Greatest Common Factor of 715,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,339 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 715,339 . The biggest common factor number is the GCF number.
So the greatest common factor 715,339 is 1.

Lets's calculate LCM of 47,272

Given numbers has no common factors except 1. So, there LCM is their product i.e 12784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12784

Therefore, the GCF of Fractions 715/47,339/272 is 1/12784

Least Common Multiple of 47,272 with GCF Formula

Least Common Multiple of 47,272 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 47,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,272) = 1

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

GCF(47,272) x common factors =1 x 1 = 1

LCM(47,272) = ( 47 × 272 ) / 1

LCM(47,272) = 12784 / 1

LCM(47,272) = 12784


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 715/47, 339/272

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 715/47, 339/272?

Answer: GCF of Numerators as per given numbers 715/47, 339/272 is

GCF of Numerators i.e. for 715,339 is 1

LCM of denominators i.e. for 47,272 is 12784.

Thus, GCF of Fractions is 1/12784.Finally, GCF of Fractions for 715/47, 339/272 is 1/12784.