Greatest Common Factor of 9024/87, 9660/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9024/87, 9660/392

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 9024/87,9660/392

Given fractions are 9024/87,9660/392

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 9024,9660

Greatest Common Factor of Numerators i.e. GCF of 9024,9660 is 12 .

LCM of Denominators means LCM of 87,392 as per the given fractions.

LCM of 87,392 is 34104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9024,9660

GCF of Fractions 9024/87,9660/392 is 12/34104

2 9024, 9660
2 4512, 4830
3 2256, 2415
752, 805

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

Greatest Common Factor of 9024,9660 By Matching Biggest Common Factor Method

Greatest Common Factor of 9024,9660 By Matching Biggest Common Factor Method

Factors of 9024

List of positive integer factors of 9024 that divides 9024 without a remainder.

1,2,3,4,6,8,12,16,24,32,47,48,64,94,96,141,188,192,282,376,564,752,1128,1504,2256,3008,4512,9024

Factors of 9660

List of positive integer factors of 9660 that divides 9660 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,23,28,30,35,42,46,60,69,70,84,92,105,115,138,140,161,210,230,276,322,345,420,460,483,644,690,805,966,1380,1610,1932,2415,3220,4830,9660

Greatest Common Factor

We found the factors 9024,9660 . The biggest common factor number is the GCF number.
So the greatest common factor 9024,9660 is 12.

Lets's calculate LCM of 87,392

Given numbers has no common factors except 1. So, there LCM is their product i.e 34104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/34104

Therefore, the GCF of Fractions 9024/87,9660/392 is 12/34104

Least Common Multiple of 87,392 with GCF Formula

Least Common Multiple of 87,392 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 87,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,392) = 1

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

GCF(87,392) x common factors =1 x 1 = 1

LCM(87,392) = ( 87 × 392 ) / 1

LCM(87,392) = 34104 / 1

LCM(87,392) = 34104


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 9024/87, 9660/392

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 9024/87, 9660/392?

Answer: GCF of Numerators as per given numbers 9024/87, 9660/392 is

GCF of Numerators i.e. for 9024,9660 is 12

LCM of denominators i.e. for 87,392 is 34104.

Thus, GCF of Fractions is 12/34104.Finally, GCF of Fractions for 9024/87, 9660/392 is 12/34104.