Greatest Common Factor of 237/7894, 729/7573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 237/7894, 729/7573

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 237/7894,729/7573

Given fractions are 237/7894,729/7573

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 237,729

Greatest Common Factor of Numerators i.e. GCF of 237,729 is 3 .

LCM of Denominators means LCM of 7894,7573 as per the given fractions.

LCM of 7894,7573 is 59781262 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 237,729

GCF of Fractions 237/7894,729/7573 is 3/59781262

3 237, 729
79, 243

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

Greatest Common Factor of 237,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,729 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 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 237,729 . The biggest common factor number is the GCF number.
So the greatest common factor 237,729 is 3.

Lets's calculate LCM of 7894,7573

Given numbers has no common factors except 1. So, there LCM is their product i.e 59781262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/59781262

Therefore, the GCF of Fractions 237/7894,729/7573 is 3/59781262

Least Common Multiple of 7894,7573 with GCF Formula

Least Common Multiple of 7894,7573 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 7894,7573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7894,7573) = 1

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

GCF(7894,7573) x common factors =1 x 1 = 1

LCM(7894,7573) = ( 7894 × 7573 ) / 1

LCM(7894,7573) = 59781262 / 1

LCM(7894,7573) = 59781262


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 237/7894, 729/7573

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 237/7894, 729/7573?

Answer: GCF of Numerators as per given numbers 237/7894, 729/7573 is

GCF of Numerators i.e. for 237,729 is 3

LCM of denominators i.e. for 7894,7573 is 59781262.

Thus, GCF of Fractions is 3/59781262.Finally, GCF of Fractions for 237/7894, 729/7573 is 3/59781262.