Greatest Common Factor of 7233/635, 2013/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7233/635, 2013/280

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 7233/635,2013/280

Given fractions are 7233/635,2013/280

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 7233,2013

Greatest Common Factor of Numerators i.e. GCF of 7233,2013 is 3 .

LCM of Denominators means LCM of 635,280 as per the given fractions.

LCM of 635,280 is 35560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7233,2013

GCF of Fractions 7233/635,2013/280 is 3/35560

3 7233, 2013
2411, 671

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

Greatest Common Factor of 7233,2013 By Matching Biggest Common Factor Method

Greatest Common Factor of 7233,2013 By Matching Biggest Common Factor Method

Factors of 7233

List of positive integer factors of 7233 that divides 7233 without a remainder.

1,3,2411,7233

Factors of 2013

List of positive integer factors of 2013 that divides 2013 without a remainder.

1,3,11,33,61,183,671,2013

Greatest Common Factor

We found the factors 7233,2013 . The biggest common factor number is the GCF number.
So the greatest common factor 7233,2013 is 3.

Lets's calculate LCM of 635,280

5 635, 280
127, 56

∴ So the LCM of the given numbers is 5 x 127 x 56 = 35560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/35560

Therefore, the GCF of Fractions 7233/635,2013/280 is 3/35560

Least Common Multiple of 635,280 with GCF Formula

Least Common Multiple of 635,280 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 635,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(635,280) = 5

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

GCF(635,280) x common factors =5 x 1 = 5

LCM(635,280) = ( 635 × 280 ) / 5

LCM(635,280) = 177800 / 5

LCM(635,280) = 35560


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 7233/635, 2013/280

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 7233/635, 2013/280?

Answer: GCF of Numerators as per given numbers 7233/635, 2013/280 is

GCF of Numerators i.e. for 7233,2013 is 3

LCM of denominators i.e. for 635,280 is 35560.

Thus, GCF of Fractions is 3/35560.Finally, GCF of Fractions for 7233/635, 2013/280 is 3/35560.