Greatest Common Factor of 856/75, 360/21, 575/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 856/75, 360/21, 575/231

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 856/75,360/21,575/231

Given fractions are 856/75,360/21,575/231

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 856,360,575

Greatest Common Factor of Numerators i.e. GCF of 856,360,575 is 1 .

LCM of Denominators means LCM of 75,21,231 as per the given fractions.

LCM of 75,21,231 is 5775 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 856,360,575

GCF of Fractions 856/75,360/21,575/231 is 1/5775

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

Greatest Common Factor of 856,360,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,360,575 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 856,360,575 . The biggest common factor number is the GCF number.
So the greatest common factor 856,360,575 is 1.

Lets's calculate LCM of 75,21,231

3 75, 21, 231
7 25, 7, 77
25, 1, 11

∴ So the LCM of the given numbers is 3 x 7 x 25 x 1 x 11 = 5775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5775

Therefore, the GCF of Fractions 856/75,360/21,575/231 is 1/5775

Least Common Multiple of 75,21,231 with GCF Formula

Least Common Multiple of 75,21,231 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 75,21,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,21,231) = 3

common factors(in case of two or more numbers have common factors) = 21

GCF(75,21,231) x common factors =3 x 21 = 63

LCM(75,21,231) = ( 75 × 21 × 231 ) / 63

LCM(75,21,231) = 363825 / 63

LCM(75,21,231) = 5775


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 856/75, 360/21, 575/231

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 856/75, 360/21, 575/231?

Answer: GCF of Numerators as per given numbers 856/75, 360/21, 575/231 is

GCF of Numerators i.e. for 856,360,575 is 1

LCM of denominators i.e. for 75,21,231 is 5775.

Thus, GCF of Fractions is 1/5775.Finally, GCF of Fractions for 856/75, 360/21, 575/231 is 1/5775.