Greatest Common Factor of 243/69, 582/3957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 243/69, 582/3957

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 243/69,582/3957

Given fractions are 243/69,582/3957

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 243,582

Greatest Common Factor of Numerators i.e. GCF of 243,582 is 3 .

LCM of Denominators means LCM of 69,3957 as per the given fractions.

LCM of 69,3957 is 91011 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 243,582

GCF of Fractions 243/69,582/3957 is 3/91011

3 243, 582
81, 194

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

Greatest Common Factor of 243,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,582 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 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 243,582 . The biggest common factor number is the GCF number.
So the greatest common factor 243,582 is 3.

Lets's calculate LCM of 69,3957

3 69, 3957
23, 1319

∴ So the LCM of the given numbers is 3 x 23 x 1319 = 91011

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/91011

Therefore, the GCF of Fractions 243/69,582/3957 is 3/91011

Least Common Multiple of 69,3957 with GCF Formula

Least Common Multiple of 69,3957 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 69,3957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,3957) = 3

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

GCF(69,3957) x common factors =3 x 1 = 3

LCM(69,3957) = ( 69 × 3957 ) / 3

LCM(69,3957) = 273033 / 3

LCM(69,3957) = 91011


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 243/69, 582/3957

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 243/69, 582/3957?

Answer: GCF of Numerators as per given numbers 243/69, 582/3957 is

GCF of Numerators i.e. for 243,582 is 3

LCM of denominators i.e. for 69,3957 is 91011.

Thus, GCF of Fractions is 3/91011.Finally, GCF of Fractions for 243/69, 582/3957 is 3/91011.