Greatest Common Factor of 327/22, 684/573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 327/22, 684/573

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 327/22,684/573

Given fractions are 327/22,684/573

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 327,684

Greatest Common Factor of Numerators i.e. GCF of 327,684 is 3 .

LCM of Denominators means LCM of 22,573 as per the given fractions.

LCM of 22,573 is 12606 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 327,684

GCF of Fractions 327/22,684/573 is 3/12606

3 327, 684
109, 228

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 327,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,684 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 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 327,684 . The biggest common factor number is the GCF number.
So the greatest common factor 327,684 is 3.

Lets's calculate LCM of 22,573

Given numbers has no common factors except 1. So, there LCM is their product i.e 12606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12606

Therefore, the GCF of Fractions 327/22,684/573 is 3/12606

Least Common Multiple of 22,573 with GCF Formula

Least Common Multiple of 22,573 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 22,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,573) = 1

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

GCF(22,573) x common factors =1 x 1 = 1

LCM(22,573) = ( 22 × 573 ) / 1

LCM(22,573) = 12606 / 1

LCM(22,573) = 12606


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 327/22, 684/573

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 327/22, 684/573?

Answer: GCF of Numerators as per given numbers 327/22, 684/573 is

GCF of Numerators i.e. for 327,684 is 3

LCM of denominators i.e. for 22,573 is 12606.

Thus, GCF of Fractions is 3/12606.Finally, GCF of Fractions for 327/22, 684/573 is 3/12606.