Greatest Common Factor of 79/39, 401/71, 636/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 79/39, 401/71, 636/249

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 79/39,401/71,636/249

Given fractions are 79/39,401/71,636/249

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 79,401,636

Greatest Common Factor of Numerators i.e. GCF of 79,401,636 is 1 .

LCM of Denominators means LCM of 39,71,249 as per the given fractions.

LCM of 39,71,249 is 229827 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 79,401,636

GCF of Fractions 79/39,401/71,636/249 is 1/229827

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

Greatest Common Factor of 79,401,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,401,636 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 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 79,401,636 . The biggest common factor number is the GCF number.
So the greatest common factor 79,401,636 is 1.

Lets's calculate LCM of 39,71,249

3 39, 71, 249
13, 71, 83

∴ So the LCM of the given numbers is 3 x 13 x 71 x 83 = 229827

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/229827

Therefore, the GCF of Fractions 79/39,401/71,636/249 is 1/229827

Least Common Multiple of 39,71,249 with GCF Formula

Least Common Multiple of 39,71,249 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 39,71,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,71,249) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,71,249) x common factors =1 x 3 = 3

LCM(39,71,249) = ( 39 × 71 × 249 ) / 3

LCM(39,71,249) = 689481 / 3

LCM(39,71,249) = 229827


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 79/39, 401/71, 636/249

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 79/39, 401/71, 636/249?

Answer: GCF of Numerators as per given numbers 79/39, 401/71, 636/249 is

GCF of Numerators i.e. for 79,401,636 is 1

LCM of denominators i.e. for 39,71,249 is 229827.

Thus, GCF of Fractions is 1/229827.Finally, GCF of Fractions for 79/39, 401/71, 636/249 is 1/229827.