Greatest Common Factor of 243/32, 3963/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 243/32, 3963/774

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 243/32,3963/774

Given fractions are 243/32,3963/774

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 243,3963

Greatest Common Factor of Numerators i.e. GCF of 243,3963 is 3 .

LCM of Denominators means LCM of 32,774 as per the given fractions.

LCM of 32,774 is 12384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 243,3963

GCF of Fractions 243/32,3963/774 is 3/12384

3 243, 3963
81, 1321

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

Greatest Common Factor of 243,3963 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,3963 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 3963

List of positive integer factors of 3963 that divides 3963 without a remainder.

1,3,1321,3963

Greatest Common Factor

We found the factors 243,3963 . The biggest common factor number is the GCF number.
So the greatest common factor 243,3963 is 3.

Lets's calculate LCM of 32,774

2 32, 774
16, 387

∴ So the LCM of the given numbers is 2 x 16 x 387 = 12384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12384

Therefore, the GCF of Fractions 243/32,3963/774 is 3/12384

Least Common Multiple of 32,774 with GCF Formula

Least Common Multiple of 32,774 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 32,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,774) = 2

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

GCF(32,774) x common factors =2 x 1 = 2

LCM(32,774) = ( 32 × 774 ) / 2

LCM(32,774) = 24768 / 2

LCM(32,774) = 12384


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 243/32, 3963/774

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 243/32, 3963/774?

Answer: GCF of Numerators as per given numbers 243/32, 3963/774 is

GCF of Numerators i.e. for 243,3963 is 3

LCM of denominators i.e. for 32,774 is 12384.

Thus, GCF of Fractions is 3/12384.Finally, GCF of Fractions for 243/32, 3963/774 is 3/12384.