Greatest Common Factor of 79/502, 20/446, 465/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 79/502, 20/446, 465/122

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 79/502,20/446,465/122

Given fractions are 79/502,20/446,465/122

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 79,20,465

Greatest Common Factor of Numerators i.e. GCF of 79,20,465 is 1 .

LCM of Denominators means LCM of 502,446,122 as per the given fractions.

LCM of 502,446,122 is 6828706 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 79,20,465

GCF of Fractions 79/502,20/446,465/122 is 1/6828706

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

Greatest Common Factor of 79,20,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,20,465 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 20

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

1,2,4,5,10,20

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 79,20,465 . The biggest common factor number is the GCF number.
So the greatest common factor 79,20,465 is 1.

Lets's calculate LCM of 502,446,122

2 502, 446, 122
251, 223, 61

∴ So the LCM of the given numbers is 2 x 251 x 223 x 61 = 6828706

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6828706

Therefore, the GCF of Fractions 79/502,20/446,465/122 is 1/6828706

Least Common Multiple of 502,446,122 with GCF Formula

Least Common Multiple of 502,446,122 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 502,446,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,446,122) = 2

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

GCF(502,446,122) x common factors =2 x 2 = 4

LCM(502,446,122) = ( 502 × 446 × 122 ) / 4

LCM(502,446,122) = 27314824 / 4

LCM(502,446,122) = 6828706


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 79/502, 20/446, 465/122

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 79/502, 20/446, 465/122?

Answer: GCF of Numerators as per given numbers 79/502, 20/446, 465/122 is

GCF of Numerators i.e. for 79,20,465 is 1

LCM of denominators i.e. for 502,446,122 is 6828706.

Thus, GCF of Fractions is 1/6828706.Finally, GCF of Fractions for 79/502, 20/446, 465/122 is 1/6828706.