Greatest Common Factor of 713/75, 640/77, 872/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 713/75, 640/77, 872/835

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 713/75,640/77,872/835

Given fractions are 713/75,640/77,872/835

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 713,640,872

Greatest Common Factor of Numerators i.e. GCF of 713,640,872 is 1 .

LCM of Denominators means LCM of 75,77,835 as per the given fractions.

LCM of 75,77,835 is 964425 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 713,640,872

GCF of Fractions 713/75,640/77,872/835 is 1/964425

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

Greatest Common Factor of 713,640,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,640,872 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 713,640,872 . The biggest common factor number is the GCF number.
So the greatest common factor 713,640,872 is 1.

Lets's calculate LCM of 75,77,835

5 75, 77, 835
15, 77, 167

∴ So the LCM of the given numbers is 5 x 15 x 77 x 167 = 964425

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/964425

Therefore, the GCF of Fractions 713/75,640/77,872/835 is 1/964425

Least Common Multiple of 75,77,835 with GCF Formula

Least Common Multiple of 75,77,835 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 75,77,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,77,835) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(75,77,835) x common factors =1 x 5 = 5

LCM(75,77,835) = ( 75 × 77 × 835 ) / 5

LCM(75,77,835) = 4822125 / 5

LCM(75,77,835) = 964425


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 713/75, 640/77, 872/835

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 713/75, 640/77, 872/835?

Answer: GCF of Numerators as per given numbers 713/75, 640/77, 872/835 is

GCF of Numerators i.e. for 713,640,872 is 1

LCM of denominators i.e. for 75,77,835 is 964425.

Thus, GCF of Fractions is 1/964425.Finally, GCF of Fractions for 713/75, 640/77, 872/835 is 1/964425.