Greatest Common Factor of 615/99, 720/73, 218/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 615/99, 720/73, 218/201

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 615/99,720/73,218/201

Given fractions are 615/99,720/73,218/201

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 615,720,218

Greatest Common Factor of Numerators i.e. GCF of 615,720,218 is 1 .

LCM of Denominators means LCM of 99,73,201 as per the given fractions.

LCM of 99,73,201 is 484209 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 615,720,218

GCF of Fractions 615/99,720/73,218/201 is 1/484209

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

Greatest Common Factor of 615,720,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,720,218 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 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 615,720,218 . The biggest common factor number is the GCF number.
So the greatest common factor 615,720,218 is 1.

Lets's calculate LCM of 99,73,201

3 99, 73, 201
33, 73, 67

∴ So the LCM of the given numbers is 3 x 33 x 73 x 67 = 484209

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/484209

Therefore, the GCF of Fractions 615/99,720/73,218/201 is 1/484209

Least Common Multiple of 99,73,201 with GCF Formula

Least Common Multiple of 99,73,201 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 99,73,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,73,201) = 1

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

GCF(99,73,201) x common factors =1 x 3 = 3

LCM(99,73,201) = ( 99 × 73 × 201 ) / 3

LCM(99,73,201) = 1452627 / 3

LCM(99,73,201) = 484209


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 615/99, 720/73, 218/201

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 615/99, 720/73, 218/201?

Answer: GCF of Numerators as per given numbers 615/99, 720/73, 218/201 is

GCF of Numerators i.e. for 615,720,218 is 1

LCM of denominators i.e. for 99,73,201 is 484209.

Thus, GCF of Fractions is 1/484209.Finally, GCF of Fractions for 615/99, 720/73, 218/201 is 1/484209.