Greatest Common Factor of 7500/415, 5328/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7500/415, 5328/204

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 7500/415,5328/204

Given fractions are 7500/415,5328/204

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 7500,5328

Greatest Common Factor of Numerators i.e. GCF of 7500,5328 is 12 .

LCM of Denominators means LCM of 415,204 as per the given fractions.

LCM of 415,204 is 84660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7500,5328

GCF of Fractions 7500/415,5328/204 is 12/84660

2 7500, 5328
2 3750, 2664
3 1875, 1332
625, 444

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 7500,5328 By Matching Biggest Common Factor Method

Greatest Common Factor of 7500,5328 By Matching Biggest Common Factor Method

Factors of 7500

List of positive integer factors of 7500 that divides 7500 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,625,750,1250,1500,1875,2500,3750,7500

Factors of 5328

List of positive integer factors of 5328 that divides 5328 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,37,48,72,74,111,144,148,222,296,333,444,592,666,888,1332,1776,2664,5328

Greatest Common Factor

We found the factors 7500,5328 . The biggest common factor number is the GCF number.
So the greatest common factor 7500,5328 is 12.

Lets's calculate LCM of 415,204

Given numbers has no common factors except 1. So, there LCM is their product i.e 84660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/84660

Therefore, the GCF of Fractions 7500/415,5328/204 is 12/84660

Least Common Multiple of 415,204 with GCF Formula

Least Common Multiple of 415,204 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 415,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(415,204) = 1

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

GCF(415,204) x common factors =1 x 1 = 1

LCM(415,204) = ( 415 × 204 ) / 1

LCM(415,204) = 84660 / 1

LCM(415,204) = 84660


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 7500/415, 5328/204

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 7500/415, 5328/204?

Answer: GCF of Numerators as per given numbers 7500/415, 5328/204 is

GCF of Numerators i.e. for 7500,5328 is 12

LCM of denominators i.e. for 415,204 is 84660.

Thus, GCF of Fractions is 12/84660.Finally, GCF of Fractions for 7500/415, 5328/204 is 12/84660.