Greatest Common Factor of 8/20, 18/58, 21/431, 842/547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/20, 18/58, 21/431, 842/547

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 8/20,18/58,21/431,842/547

Given fractions are 8/20,18/58,21/431,842/547

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 8,18,21,842

Greatest Common Factor of Numerators i.e. GCF of 8,18,21,842 is 1 .

LCM of Denominators means LCM of 20,58,431,547 as per the given fractions.

LCM of 20,58,431,547 is 136739060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,18,21,842

GCF of Fractions 8/20,18/58,21/431,842/547 is 1/136739060

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

Greatest Common Factor of 8,18,21,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,18,21,842 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 21

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

1,3,7,21

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 8,18,21,842 . The biggest common factor number is the GCF number.
So the greatest common factor 8,18,21,842 is 1.

Lets's calculate LCM of 20,58,431,547

2 20, 58, 431, 547
10, 29, 431, 547

∴ So the LCM of the given numbers is 2 x 10 x 29 x 431 x 547 = 136739060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136739060

Therefore, the GCF of Fractions 8/20,18/58,21/431,842/547 is 1/136739060

Least Common Multiple of 20,58,431,547 with GCF Formula

Least Common Multiple of 20,58,431,547 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 20,58,431,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,58,431,547) = 1

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

GCF(20,58,431,547) x common factors =1 x 2 = 2

LCM(20,58,431,547) = ( 20 × 58 × 431 × 547 ) / 2

LCM(20,58,431,547) = 273478120 / 2

LCM(20,58,431,547) = 136739060


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 8/20, 18/58, 21/431, 842/547

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 8/20, 18/58, 21/431, 842/547?

Answer: GCF of Numerators as per given numbers 8/20, 18/58, 21/431, 842/547 is

GCF of Numerators i.e. for 8,18,21,842 is 1

LCM of denominators i.e. for 20,58,431,547 is 136739060.

Thus, GCF of Fractions is 1/136739060.Finally, GCF of Fractions for 8/20, 18/58, 21/431, 842/547 is 1/136739060.