Greatest Common Factor of 615/369, 1643/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 615/369, 1643/359

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 615/369,1643/359

Given fractions are 615/369,1643/359

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 615,1643

Greatest Common Factor of Numerators i.e. GCF of 615,1643 is 1 .

LCM of Denominators means LCM of 369,359 as per the given fractions.

LCM of 369,359 is 132471 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 615,1643

GCF of Fractions 615/369,1643/359 is 1/132471

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

Greatest Common Factor of 615,1643 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,1643 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 1643

List of positive integer factors of 1643 that divides 1643 without a remainder.

1,31,53,1643

Greatest Common Factor

We found the factors 615,1643 . The biggest common factor number is the GCF number.
So the greatest common factor 615,1643 is 1.

Lets's calculate LCM of 369,359

Given numbers has no common factors except 1. So, there LCM is their product i.e 132471

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132471

Therefore, the GCF of Fractions 615/369,1643/359 is 1/132471

Least Common Multiple of 369,359 with GCF Formula

Least Common Multiple of 369,359 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 369,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,359) = 1

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

GCF(369,359) x common factors =1 x 1 = 1

LCM(369,359) = ( 369 × 359 ) / 1

LCM(369,359) = 132471 / 1

LCM(369,359) = 132471


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 615/369, 1643/359

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 615/369, 1643/359?

Answer: GCF of Numerators as per given numbers 615/369, 1643/359 is

GCF of Numerators i.e. for 615,1643 is 1

LCM of denominators i.e. for 369,359 is 132471.

Thus, GCF of Fractions is 1/132471.Finally, GCF of Fractions for 615/369, 1643/359 is 1/132471.