Greatest Common Factor of 5952/243, 1815/1732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5952/243, 1815/1732

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 5952/243,1815/1732

Given fractions are 5952/243,1815/1732

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 5952,1815

Greatest Common Factor of Numerators i.e. GCF of 5952,1815 is 3 .

LCM of Denominators means LCM of 243,1732 as per the given fractions.

LCM of 243,1732 is 420876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5952,1815

GCF of Fractions 5952/243,1815/1732 is 3/420876

3 5952, 1815
1984, 605

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

Greatest Common Factor of 5952,1815 By Matching Biggest Common Factor Method

Greatest Common Factor of 5952,1815 By Matching Biggest Common Factor Method

Factors of 5952

List of positive integer factors of 5952 that divides 5952 without a remainder.

1,2,3,4,6,8,12,16,24,31,32,48,62,64,93,96,124,186,192,248,372,496,744,992,1488,1984,2976,5952

Factors of 1815

List of positive integer factors of 1815 that divides 1815 without a remainder.

1,3,5,11,15,33,55,121,165,363,605,1815

Greatest Common Factor

We found the factors 5952,1815 . The biggest common factor number is the GCF number.
So the greatest common factor 5952,1815 is 3.

Lets's calculate LCM of 243,1732

Given numbers has no common factors except 1. So, there LCM is their product i.e 420876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/420876

Therefore, the GCF of Fractions 5952/243,1815/1732 is 3/420876

Least Common Multiple of 243,1732 with GCF Formula

Least Common Multiple of 243,1732 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 243,1732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,1732) = 1

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

GCF(243,1732) x common factors =1 x 1 = 1

LCM(243,1732) = ( 243 × 1732 ) / 1

LCM(243,1732) = 420876 / 1

LCM(243,1732) = 420876


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 5952/243, 1815/1732

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 5952/243, 1815/1732?

Answer: GCF of Numerators as per given numbers 5952/243, 1815/1732 is

GCF of Numerators i.e. for 5952,1815 is 3

LCM of denominators i.e. for 243,1732 is 420876.

Thus, GCF of Fractions is 3/420876.Finally, GCF of Fractions for 5952/243, 1815/1732 is 3/420876.