Greatest Common Factor of 38/206, 477/337, 422/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/206, 477/337, 422/524

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 38/206,477/337,422/524

Given fractions are 38/206,477/337,422/524

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 38,477,422

Greatest Common Factor of Numerators i.e. GCF of 38,477,422 is 1 .

LCM of Denominators means LCM of 206,337,524 as per the given fractions.

LCM of 206,337,524 is 18188564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,477,422

GCF of Fractions 38/206,477/337,422/524 is 1/18188564

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

Greatest Common Factor of 38,477,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,477,422 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 477

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

1,3,9,53,159,477

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 38,477,422 . The biggest common factor number is the GCF number.
So the greatest common factor 38,477,422 is 1.

Lets's calculate LCM of 206,337,524

2 206, 337, 524
103, 337, 262

∴ So the LCM of the given numbers is 2 x 103 x 337 x 262 = 18188564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18188564

Therefore, the GCF of Fractions 38/206,477/337,422/524 is 1/18188564

Least Common Multiple of 206,337,524 with GCF Formula

Least Common Multiple of 206,337,524 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 206,337,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,337,524) = 1

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

GCF(206,337,524) x common factors =1 x 2 = 2

LCM(206,337,524) = ( 206 × 337 × 524 ) / 2

LCM(206,337,524) = 36377128 / 2

LCM(206,337,524) = 18188564


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 38/206, 477/337, 422/524

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 38/206, 477/337, 422/524?

Answer: GCF of Numerators as per given numbers 38/206, 477/337, 422/524 is

GCF of Numerators i.e. for 38,477,422 is 1

LCM of denominators i.e. for 206,337,524 is 18188564.

Thus, GCF of Fractions is 1/18188564.Finally, GCF of Fractions for 38/206, 477/337, 422/524 is 1/18188564.