Greatest Common Factor of 615/230, 4050/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 615/230, 4050/721

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 615/230,4050/721

Given fractions are 615/230,4050/721

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 615,4050

Greatest Common Factor of Numerators i.e. GCF of 615,4050 is 15 .

LCM of Denominators means LCM of 230,721 as per the given fractions.

LCM of 230,721 is 165830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 615,4050

GCF of Fractions 615/230,4050/721 is 15/165830

3 615, 4050
5 205, 1350
41, 270

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 615,4050 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,4050 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 4050

List of positive integer factors of 4050 that divides 4050 without a remainder.

1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,81,90,135,150,162,225,270,405,450,675,810,1350,2025,4050

Greatest Common Factor

We found the factors 615,4050 . The biggest common factor number is the GCF number.
So the greatest common factor 615,4050 is 15.

Lets's calculate LCM of 230,721

Given numbers has no common factors except 1. So, there LCM is their product i.e 165830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/165830

Therefore, the GCF of Fractions 615/230,4050/721 is 15/165830

Least Common Multiple of 230,721 with GCF Formula

Least Common Multiple of 230,721 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 230,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,721) = 1

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

GCF(230,721) x common factors =1 x 1 = 1

LCM(230,721) = ( 230 × 721 ) / 1

LCM(230,721) = 165830 / 1

LCM(230,721) = 165830


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 615/230, 4050/721

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 615/230, 4050/721?

Answer: GCF of Numerators as per given numbers 615/230, 4050/721 is

GCF of Numerators i.e. for 615,4050 is 15

LCM of denominators i.e. for 230,721 is 165830.

Thus, GCF of Fractions is 15/165830.Finally, GCF of Fractions for 615/230, 4050/721 is 15/165830.