Greatest Common Factor of 858/20, 976/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 858/20, 976/921

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 858/20,976/921

Given fractions are 858/20,976/921

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 858,976

Greatest Common Factor of Numerators i.e. GCF of 858,976 is 2 .

LCM of Denominators means LCM of 20,921 as per the given fractions.

LCM of 20,921 is 18420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 858,976

GCF of Fractions 858/20,976/921 is 2/18420

2 858, 976
429, 488

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 858,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,976 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 858,976 . The biggest common factor number is the GCF number.
So the greatest common factor 858,976 is 2.

Lets's calculate LCM of 20,921

Given numbers has no common factors except 1. So, there LCM is their product i.e 18420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18420

Therefore, the GCF of Fractions 858/20,976/921 is 2/18420

Least Common Multiple of 20,921 with GCF Formula

Least Common Multiple of 20,921 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 20,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,921) = 1

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

GCF(20,921) x common factors =1 x 1 = 1

LCM(20,921) = ( 20 × 921 ) / 1

LCM(20,921) = 18420 / 1

LCM(20,921) = 18420


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 858/20, 976/921

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 858/20, 976/921?

Answer: GCF of Numerators as per given numbers 858/20, 976/921 is

GCF of Numerators i.e. for 858,976 is 2

LCM of denominators i.e. for 20,921 is 18420.

Thus, GCF of Fractions is 2/18420.Finally, GCF of Fractions for 858/20, 976/921 is 2/18420.