Greatest Common Factor of 715/57, 390/32, 741/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 715/57, 390/32, 741/13

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 715/57,390/32,741/13

Given fractions are 715/57,390/32,741/13

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 715,390,741

Greatest Common Factor of Numerators i.e. GCF of 715,390,741 is 13 .

LCM of Denominators means LCM of 57,32,13 as per the given fractions.

LCM of 57,32,13 is 23712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 715,390,741

GCF of Fractions 715/57,390/32,741/13 is 13/23712

13 715, 390, 741
55, 30, 57

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 715,390,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,390,741 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 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 715,390,741 . The biggest common factor number is the GCF number.
So the greatest common factor 715,390,741 is 13.

Lets's calculate LCM of 57,32,13

Given numbers has no common factors except 1. So, there LCM is their product i.e 23712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/23712

Therefore, the GCF of Fractions 715/57,390/32,741/13 is 13/23712

Least Common Multiple of 57,32,13 with GCF Formula

Least Common Multiple of 57,32,13 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 57,32,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,32,13) = 1

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

GCF(57,32,13) x common factors =1 x 1 = 1

LCM(57,32,13) = ( 57 × 32 × 13 ) / 1

LCM(57,32,13) = 23712 / 1

LCM(57,32,13) = 23712


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 715/57, 390/32, 741/13

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 715/57, 390/32, 741/13?

Answer: GCF of Numerators as per given numbers 715/57, 390/32, 741/13 is

GCF of Numerators i.e. for 715,390,741 is 13

LCM of denominators i.e. for 57,32,13 is 23712.

Thus, GCF of Fractions is 13/23712.Finally, GCF of Fractions for 715/57, 390/32, 741/13 is 13/23712.