Greatest Common Factor of 7125/537, 9840/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7125/537, 9840/486

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 7125/537,9840/486

Given fractions are 7125/537,9840/486

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 7125,9840

Greatest Common Factor of Numerators i.e. GCF of 7125,9840 is 15 .

LCM of Denominators means LCM of 537,486 as per the given fractions.

LCM of 537,486 is 86994 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7125,9840

GCF of Fractions 7125/537,9840/486 is 15/86994

3 7125, 9840
5 2375, 3280
475, 656

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

Greatest Common Factor of 7125,9840 By Matching Biggest Common Factor Method

Greatest Common Factor of 7125,9840 By Matching Biggest Common Factor Method

Factors of 7125

List of positive integer factors of 7125 that divides 7125 without a remainder.

1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125

Factors of 9840

List of positive integer factors of 9840 that divides 9840 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,41,48,60,80,82,120,123,164,205,240,246,328,410,492,615,656,820,984,1230,1640,1968,2460,3280,4920,9840

Greatest Common Factor

We found the factors 7125,9840 . The biggest common factor number is the GCF number.
So the greatest common factor 7125,9840 is 15.

Lets's calculate LCM of 537,486

3 537, 486
179, 162

∴ So the LCM of the given numbers is 3 x 179 x 162 = 86994

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/86994

Therefore, the GCF of Fractions 7125/537,9840/486 is 15/86994

Least Common Multiple of 537,486 with GCF Formula

Least Common Multiple of 537,486 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 537,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,486) = 3

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

GCF(537,486) x common factors =3 x 1 = 3

LCM(537,486) = ( 537 × 486 ) / 3

LCM(537,486) = 260982 / 3

LCM(537,486) = 86994


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 7125/537, 9840/486

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 7125/537, 9840/486?

Answer: GCF of Numerators as per given numbers 7125/537, 9840/486 is

GCF of Numerators i.e. for 7125,9840 is 15

LCM of denominators i.e. for 537,486 is 86994.

Thus, GCF of Fractions is 15/86994.Finally, GCF of Fractions for 7125/537, 9840/486 is 15/86994.