Greatest Common Factor of 476/86, 327/47, 217/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 476/86, 327/47, 217/602

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 476/86,327/47,217/602

Given fractions are 476/86,327/47,217/602

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 476,327,217

Greatest Common Factor of Numerators i.e. GCF of 476,327,217 is 1 .

LCM of Denominators means LCM of 86,47,602 as per the given fractions.

LCM of 86,47,602 is 28294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 476,327,217

GCF of Fractions 476/86,327/47,217/602 is 1/28294

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

Greatest Common Factor of 476,327,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,327,217 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 476,327,217 . The biggest common factor number is the GCF number.
So the greatest common factor 476,327,217 is 1.

Lets's calculate LCM of 86,47,602

2 86, 47, 602
43 43, 47, 301
1, 47, 7

∴ So the LCM of the given numbers is 2 x 43 x 1 x 47 x 7 = 28294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28294

Therefore, the GCF of Fractions 476/86,327/47,217/602 is 1/28294

Least Common Multiple of 86,47,602 with GCF Formula

Least Common Multiple of 86,47,602 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 86,47,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,47,602) = 1

common factors(in case of two or more numbers have common factors) = 86

GCF(86,47,602) x common factors =1 x 86 = 86

LCM(86,47,602) = ( 86 × 47 × 602 ) / 86

LCM(86,47,602) = 2433284 / 86

LCM(86,47,602) = 28294


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 476/86, 327/47, 217/602

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 476/86, 327/47, 217/602?

Answer: GCF of Numerators as per given numbers 476/86, 327/47, 217/602 is

GCF of Numerators i.e. for 476,327,217 is 1

LCM of denominators i.e. for 86,47,602 is 28294.

Thus, GCF of Fractions is 1/28294.Finally, GCF of Fractions for 476/86, 327/47, 217/602 is 1/28294.