Greatest Common Factor of 369/15, 615/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 369/15, 615/533

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 369/15,615/533

Given fractions are 369/15,615/533

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 369,615

Greatest Common Factor of Numerators i.e. GCF of 369,615 is 123 .

LCM of Denominators means LCM of 15,533 as per the given fractions.

LCM of 15,533 is 7995 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 369,615

GCF of Fractions 369/15,615/533 is 123/7995

3 369, 615
41 123, 205
3, 5

∴ So the GCF of the given numbers is 3 x 41 = 123

Greatest Common Factor of 369,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,615 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 615

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

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

Greatest Common Factor

We found the factors 369,615 . The biggest common factor number is the GCF number.
So the greatest common factor 369,615 is 123.

Lets's calculate LCM of 15,533

Given numbers has no common factors except 1. So, there LCM is their product i.e 7995

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 123/7995

Therefore, the GCF of Fractions 369/15,615/533 is 123/7995

Least Common Multiple of 15,533 with GCF Formula

Least Common Multiple of 15,533 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 15,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,533) = 1

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

GCF(15,533) x common factors =1 x 1 = 1

LCM(15,533) = ( 15 × 533 ) / 1

LCM(15,533) = 7995 / 1

LCM(15,533) = 7995


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 369/15, 615/533

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 369/15, 615/533?

Answer: GCF of Numerators as per given numbers 369/15, 615/533 is

GCF of Numerators i.e. for 369,615 is 123

LCM of denominators i.e. for 15,533 is 7995.

Thus, GCF of Fractions is 123/7995.Finally, GCF of Fractions for 369/15, 615/533 is 123/7995.