Greatest Common Factor of 20/13, 58/22, 164/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/13, 58/22, 164/242

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 20/13,58/22,164/242

Given fractions are 20/13,58/22,164/242

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 20,58,164

Greatest Common Factor of Numerators i.e. GCF of 20,58,164 is 2 .

LCM of Denominators means LCM of 13,22,242 as per the given fractions.

LCM of 13,22,242 is 3146 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,58,164

GCF of Fractions 20/13,58/22,164/242 is 2/3146

2 20, 58, 164
10, 29, 82

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

Greatest Common Factor of 20,58,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,58,164 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 20,58,164 . The biggest common factor number is the GCF number.
So the greatest common factor 20,58,164 is 2.

Lets's calculate LCM of 13,22,242

2 13, 22, 242
11 13, 11, 121
13, 1, 11

∴ So the LCM of the given numbers is 2 x 11 x 13 x 1 x 11 = 3146

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3146

Therefore, the GCF of Fractions 20/13,58/22,164/242 is 2/3146

Least Common Multiple of 13,22,242 with GCF Formula

Least Common Multiple of 13,22,242 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 13,22,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,22,242) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(13,22,242) x common factors =1 x 22 = 22

LCM(13,22,242) = ( 13 × 22 × 242 ) / 22

LCM(13,22,242) = 69212 / 22

LCM(13,22,242) = 3146


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 20/13, 58/22, 164/242

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 20/13, 58/22, 164/242?

Answer: GCF of Numerators as per given numbers 20/13, 58/22, 164/242 is

GCF of Numerators i.e. for 20,58,164 is 2

LCM of denominators i.e. for 13,22,242 is 3146.

Thus, GCF of Fractions is 2/3146.Finally, GCF of Fractions for 20/13, 58/22, 164/242 is 2/3146.