Greatest Common Factor of 243/61, 486/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 243/61, 486/524

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 243/61,486/524

Given fractions are 243/61,486/524

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 243,486

Greatest Common Factor of Numerators i.e. GCF of 243,486 is 243 .

LCM of Denominators means LCM of 61,524 as per the given fractions.

LCM of 61,524 is 31964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 243,486

GCF of Fractions 243/61,486/524 is 243/31964

3 243, 486
3 81, 162
3 27, 54
3 9, 18
3 3, 6
1, 2

∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 x 3 = 243

Greatest Common Factor of 243,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,486 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 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 243,486 . The biggest common factor number is the GCF number.
So the greatest common factor 243,486 is 243.

Lets's calculate LCM of 61,524

Given numbers has no common factors except 1. So, there LCM is their product i.e 31964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 243/31964

Therefore, the GCF of Fractions 243/61,486/524 is 243/31964

Least Common Multiple of 61,524 with GCF Formula

Least Common Multiple of 61,524 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 61,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,524) = 1

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

GCF(61,524) x common factors =1 x 1 = 1

LCM(61,524) = ( 61 × 524 ) / 1

LCM(61,524) = 31964 / 1

LCM(61,524) = 31964


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 243/61, 486/524

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 243/61, 486/524?

Answer: GCF of Numerators as per given numbers 243/61, 486/524 is

GCF of Numerators i.e. for 243,486 is 243

LCM of denominators i.e. for 61,524 is 31964.

Thus, GCF of Fractions is 243/31964.Finally, GCF of Fractions for 243/61, 486/524 is 243/31964.