Greatest Common Factor of 615/150, 144/219, 667/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 615/150, 144/219, 667/517

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 615/150,144/219,667/517

Given fractions are 615/150,144/219,667/517

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 615,144,667

Greatest Common Factor of Numerators i.e. GCF of 615,144,667 is 1 .

LCM of Denominators means LCM of 150,219,517 as per the given fractions.

LCM of 150,219,517 is 5661150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 615,144,667

GCF of Fractions 615/150,144/219,667/517 is 1/5661150

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

Greatest Common Factor of 615,144,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,144,667 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 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 615,144,667 . The biggest common factor number is the GCF number.
So the greatest common factor 615,144,667 is 1.

Lets's calculate LCM of 150,219,517

3 150, 219, 517
50, 73, 517

∴ So the LCM of the given numbers is 3 x 50 x 73 x 517 = 5661150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5661150

Therefore, the GCF of Fractions 615/150,144/219,667/517 is 1/5661150

Least Common Multiple of 150,219,517 with GCF Formula

Least Common Multiple of 150,219,517 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 150,219,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,219,517) = 1

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

GCF(150,219,517) x common factors =1 x 3 = 3

LCM(150,219,517) = ( 150 × 219 × 517 ) / 3

LCM(150,219,517) = 16983450 / 3

LCM(150,219,517) = 5661150


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 615/150, 144/219, 667/517

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 615/150, 144/219, 667/517?

Answer: GCF of Numerators as per given numbers 615/150, 144/219, 667/517 is

GCF of Numerators i.e. for 615,144,667 is 1

LCM of denominators i.e. for 150,219,517 is 5661150.

Thus, GCF of Fractions is 1/5661150.Finally, GCF of Fractions for 615/150, 144/219, 667/517 is 1/5661150.