Greatest Common Factor of 327/142, 643/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 327/142, 643/519

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 327/142,643/519

Given fractions are 327/142,643/519

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 327,643

Greatest Common Factor of Numerators i.e. GCF of 327,643 is 1 .

LCM of Denominators means LCM of 142,519 as per the given fractions.

LCM of 142,519 is 73698 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 327,643

GCF of Fractions 327/142,643/519 is 1/73698

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

Greatest Common Factor of 327,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,643 By Matching Biggest Common Factor Method

Factors of 327

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

1,3,109,327

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 327,643 . The biggest common factor number is the GCF number.
So the greatest common factor 327,643 is 1.

Lets's calculate LCM of 142,519

Given numbers has no common factors except 1. So, there LCM is their product i.e 73698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73698

Therefore, the GCF of Fractions 327/142,643/519 is 1/73698

Least Common Multiple of 142,519 with GCF Formula

Least Common Multiple of 142,519 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 142,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,519) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(142,519) x common factors =1 x 1 = 1

LCM(142,519) = ( 142 × 519 ) / 1

LCM(142,519) = 73698 / 1

LCM(142,519) = 73698


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 327/142, 643/519

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 327/142, 643/519?

Answer: GCF of Numerators as per given numbers 327/142, 643/519 is

GCF of Numerators i.e. for 327,643 is 1

LCM of denominators i.e. for 142,519 is 73698.

Thus, GCF of Fractions is 1/73698.Finally, GCF of Fractions for 327/142, 643/519 is 1/73698.