Greatest Common Factor of 31/61, 638/45, 477/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/61, 638/45, 477/429

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 31/61,638/45,477/429

Given fractions are 31/61,638/45,477/429

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 31,638,477

Greatest Common Factor of Numerators i.e. GCF of 31,638,477 is 1 .

LCM of Denominators means LCM of 61,45,429 as per the given fractions.

LCM of 61,45,429 is 392535 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,638,477

GCF of Fractions 31/61,638/45,477/429 is 1/392535

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

Greatest Common Factor of 31,638,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,638,477 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 31,638,477 . The biggest common factor number is the GCF number.
So the greatest common factor 31,638,477 is 1.

Lets's calculate LCM of 61,45,429

3 61, 45, 429
61, 15, 143

∴ So the LCM of the given numbers is 3 x 61 x 15 x 143 = 392535

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392535

Therefore, the GCF of Fractions 31/61,638/45,477/429 is 1/392535

Least Common Multiple of 61,45,429 with GCF Formula

Least Common Multiple of 61,45,429 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 61,45,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,45,429) = 1

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

GCF(61,45,429) x common factors =1 x 3 = 3

LCM(61,45,429) = ( 61 × 45 × 429 ) / 3

LCM(61,45,429) = 1177605 / 3

LCM(61,45,429) = 392535


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 31/61, 638/45, 477/429

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 31/61, 638/45, 477/429?

Answer: GCF of Numerators as per given numbers 31/61, 638/45, 477/429 is

GCF of Numerators i.e. for 31,638,477 is 1

LCM of denominators i.e. for 61,45,429 is 392535.

Thus, GCF of Fractions is 1/392535.Finally, GCF of Fractions for 31/61, 638/45, 477/429 is 1/392535.