Greatest Common Factor of 237/75, 387/1769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 237/75, 387/1769

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 237/75,387/1769

Given fractions are 237/75,387/1769

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 237,387

Greatest Common Factor of Numerators i.e. GCF of 237,387 is 3 .

LCM of Denominators means LCM of 75,1769 as per the given fractions.

LCM of 75,1769 is 132675 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 237,387

GCF of Fractions 237/75,387/1769 is 3/132675

3 237, 387
79, 129

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

Greatest Common Factor of 237,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,387 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 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 237,387 . The biggest common factor number is the GCF number.
So the greatest common factor 237,387 is 3.

Lets's calculate LCM of 75,1769

Given numbers has no common factors except 1. So, there LCM is their product i.e 132675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/132675

Therefore, the GCF of Fractions 237/75,387/1769 is 3/132675

Least Common Multiple of 75,1769 with GCF Formula

Least Common Multiple of 75,1769 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 75,1769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,1769) = 1

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

GCF(75,1769) x common factors =1 x 1 = 1

LCM(75,1769) = ( 75 × 1769 ) / 1

LCM(75,1769) = 132675 / 1

LCM(75,1769) = 132675


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 237/75, 387/1769

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 237/75, 387/1769?

Answer: GCF of Numerators as per given numbers 237/75, 387/1769 is

GCF of Numerators i.e. for 237,387 is 3

LCM of denominators i.e. for 75,1769 is 132675.

Thus, GCF of Fractions is 3/132675.Finally, GCF of Fractions for 237/75, 387/1769 is 3/132675.