Greatest Common Factor of 21/58, 94/204, 149/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/58, 94/204, 149/902

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 21/58,94/204,149/902

Given fractions are 21/58,94/204,149/902

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 21,94,149

Greatest Common Factor of Numerators i.e. GCF of 21,94,149 is 1 .

LCM of Denominators means LCM of 58,204,902 as per the given fractions.

LCM of 58,204,902 is 2668116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,94,149

GCF of Fractions 21/58,94/204,149/902 is 1/2668116

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

Greatest Common Factor of 21,94,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,94,149 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 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 21,94,149 . The biggest common factor number is the GCF number.
So the greatest common factor 21,94,149 is 1.

Lets's calculate LCM of 58,204,902

2 58, 204, 902
29, 102, 451

∴ So the LCM of the given numbers is 2 x 29 x 102 x 451 = 2668116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2668116

Therefore, the GCF of Fractions 21/58,94/204,149/902 is 1/2668116

Least Common Multiple of 58,204,902 with GCF Formula

Least Common Multiple of 58,204,902 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 58,204,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,204,902) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(58,204,902) x common factors =2 x 2 = 4

LCM(58,204,902) = ( 58 × 204 × 902 ) / 4

LCM(58,204,902) = 10672464 / 4

LCM(58,204,902) = 2668116


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 21/58, 94/204, 149/902

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 21/58, 94/204, 149/902?

Answer: GCF of Numerators as per given numbers 21/58, 94/204, 149/902 is

GCF of Numerators i.e. for 21,94,149 is 1

LCM of denominators i.e. for 58,204,902 is 2668116.

Thus, GCF of Fractions is 1/2668116.Finally, GCF of Fractions for 21/58, 94/204, 149/902 is 1/2668116.