Greatest Common Factor of 9015/456, 2379/7598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9015/456, 2379/7598

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 9015/456,2379/7598

Given fractions are 9015/456,2379/7598

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 9015,2379

Greatest Common Factor of Numerators i.e. GCF of 9015,2379 is 3 .

LCM of Denominators means LCM of 456,7598 as per the given fractions.

LCM of 456,7598 is 1732344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9015,2379

GCF of Fractions 9015/456,2379/7598 is 3/1732344

3 9015, 2379
3005, 793

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9015,2379 By Matching Biggest Common Factor Method

Greatest Common Factor of 9015,2379 By Matching Biggest Common Factor Method

Factors of 9015

List of positive integer factors of 9015 that divides 9015 without a remainder.

1,3,5,15,601,1803,3005,9015

Factors of 2379

List of positive integer factors of 2379 that divides 2379 without a remainder.

1,3,13,39,61,183,793,2379

Greatest Common Factor

We found the factors 9015,2379 . The biggest common factor number is the GCF number.
So the greatest common factor 9015,2379 is 3.

Lets's calculate LCM of 456,7598

2 456, 7598
228, 3799

∴ So the LCM of the given numbers is 2 x 228 x 3799 = 1732344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1732344

Therefore, the GCF of Fractions 9015/456,2379/7598 is 3/1732344

Least Common Multiple of 456,7598 with GCF Formula

Least Common Multiple of 456,7598 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 456,7598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,7598) = 2

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

GCF(456,7598) x common factors =2 x 1 = 2

LCM(456,7598) = ( 456 × 7598 ) / 2

LCM(456,7598) = 3464688 / 2

LCM(456,7598) = 1732344


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 9015/456, 2379/7598

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 9015/456, 2379/7598?

Answer: GCF of Numerators as per given numbers 9015/456, 2379/7598 is

GCF of Numerators i.e. for 9015,2379 is 3

LCM of denominators i.e. for 456,7598 is 1732344.

Thus, GCF of Fractions is 3/1732344.Finally, GCF of Fractions for 9015/456, 2379/7598 is 3/1732344.