Greatest Common Factor of 21/957, 367/615, 794/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/957, 367/615, 794/286

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 21/957,367/615,794/286

Given fractions are 21/957,367/615,794/286

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 21,367,794

Greatest Common Factor of Numerators i.e. GCF of 21,367,794 is 1 .

LCM of Denominators means LCM of 957,615,286 as per the given fractions.

LCM of 957,615,286 is 5100810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,367,794

GCF of Fractions 21/957,367/615,794/286 is 1/5100810

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

Greatest Common Factor of 21,367,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,367,794 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 21,367,794 . The biggest common factor number is the GCF number.
So the greatest common factor 21,367,794 is 1.

Lets's calculate LCM of 957,615,286

3 957, 615, 286
11 319, 205, 286
29, 205, 26

∴ So the LCM of the given numbers is 3 x 11 x 29 x 205 x 26 = 5100810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5100810

Therefore, the GCF of Fractions 21/957,367/615,794/286 is 1/5100810

Least Common Multiple of 957,615,286 with GCF Formula

Least Common Multiple of 957,615,286 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 957,615,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(957,615,286) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(957,615,286) x common factors =1 x 33 = 33

LCM(957,615,286) = ( 957 × 615 × 286 ) / 33

LCM(957,615,286) = 168326730 / 33

LCM(957,615,286) = 5100810


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 21/957, 367/615, 794/286

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 21/957, 367/615, 794/286?

Answer: GCF of Numerators as per given numbers 21/957, 367/615, 794/286 is

GCF of Numerators i.e. for 21,367,794 is 1

LCM of denominators i.e. for 957,615,286 is 5100810.

Thus, GCF of Fractions is 1/5100810.Finally, GCF of Fractions for 21/957, 367/615, 794/286 is 1/5100810.