Greatest Common Factor of 243/51, 372/96, 570/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 243/51, 372/96, 570/234

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 243/51,372/96,570/234

Given fractions are 243/51,372/96,570/234

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 243,372,570

Greatest Common Factor of Numerators i.e. GCF of 243,372,570 is 3 .

LCM of Denominators means LCM of 51,96,234 as per the given fractions.

LCM of 51,96,234 is 63648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 243,372,570

GCF of Fractions 243/51,372/96,570/234 is 3/63648

3 243, 372, 570
81, 124, 190

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

Greatest Common Factor of 243,372,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,372,570 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 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 243,372,570 . The biggest common factor number is the GCF number.
So the greatest common factor 243,372,570 is 3.

Lets's calculate LCM of 51,96,234

2 51, 96, 234
3 51, 48, 117
17, 16, 39

∴ So the LCM of the given numbers is 2 x 3 x 17 x 16 x 39 = 63648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/63648

Therefore, the GCF of Fractions 243/51,372/96,570/234 is 3/63648

Least Common Multiple of 51,96,234 with GCF Formula

Least Common Multiple of 51,96,234 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 51,96,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,96,234) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(51,96,234) x common factors =3 x 6 = 18

LCM(51,96,234) = ( 51 × 96 × 234 ) / 18

LCM(51,96,234) = 1145664 / 18

LCM(51,96,234) = 63648


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 243/51, 372/96, 570/234

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 243/51, 372/96, 570/234?

Answer: GCF of Numerators as per given numbers 243/51, 372/96, 570/234 is

GCF of Numerators i.e. for 243,372,570 is 3

LCM of denominators i.e. for 51,96,234 is 63648.

Thus, GCF of Fractions is 3/63648.Finally, GCF of Fractions for 243/51, 372/96, 570/234 is 3/63648.