Greatest Common Factor of 237/117, 243/886, 587/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 237/117, 243/886, 587/561

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 237/117,243/886,587/561

Given fractions are 237/117,243/886,587/561

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 237,243,587

Greatest Common Factor of Numerators i.e. GCF of 237,243,587 is 1 .

LCM of Denominators means LCM of 117,886,561 as per the given fractions.

LCM of 117,886,561 is 19384794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 237,243,587

GCF of Fractions 237/117,243/886,587/561 is 1/19384794

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 237,243,587 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,243,587 By Matching Biggest Common Factor Method

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 243

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

1,3,9,27,81,243

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Greatest Common Factor

We found the factors 237,243,587 . The biggest common factor number is the GCF number.
So the greatest common factor 237,243,587 is 1.

Lets's calculate LCM of 117,886,561

3 117, 886, 561
39, 886, 187

∴ So the LCM of the given numbers is 3 x 39 x 886 x 187 = 19384794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19384794

Therefore, the GCF of Fractions 237/117,243/886,587/561 is 1/19384794

Least Common Multiple of 117,886,561 with GCF Formula

Least Common Multiple of 117,886,561 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 117,886,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,886,561) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(117,886,561) x common factors =1 x 3 = 3

LCM(117,886,561) = ( 117 × 886 × 561 ) / 3

LCM(117,886,561) = 58154382 / 3

LCM(117,886,561) = 19384794


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 237/117, 243/886, 587/561

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 237/117, 243/886, 587/561?

Answer: GCF of Numerators as per given numbers 237/117, 243/886, 587/561 is

GCF of Numerators i.e. for 237,243,587 is 1

LCM of denominators i.e. for 117,886,561 is 19384794.

Thus, GCF of Fractions is 1/19384794.Finally, GCF of Fractions for 237/117, 243/886, 587/561 is 1/19384794.