Greatest Common Factor of 8612/27, 9692/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8612/27, 9692/684

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 8612/27,9692/684

Given fractions are 8612/27,9692/684

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 8612,9692

Greatest Common Factor of Numerators i.e. GCF of 8612,9692 is 4 .

LCM of Denominators means LCM of 27,684 as per the given fractions.

LCM of 27,684 is 2052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8612,9692

GCF of Fractions 8612/27,9692/684 is 4/2052

2 8612, 9692
2 4306, 4846
2153, 2423

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8612,9692 By Matching Biggest Common Factor Method

Greatest Common Factor of 8612,9692 By Matching Biggest Common Factor Method

Factors of 8612

List of positive integer factors of 8612 that divides 8612 without a remainder.

1,2,4,2153,4306,8612

Factors of 9692

List of positive integer factors of 9692 that divides 9692 without a remainder.

1,2,4,2423,4846,9692

Greatest Common Factor

We found the factors 8612,9692 . The biggest common factor number is the GCF number.
So the greatest common factor 8612,9692 is 4.

Lets's calculate LCM of 27,684

3 27, 684
3 9, 228
3, 76

∴ So the LCM of the given numbers is 3 x 3 x 3 x 76 = 2052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2052

Therefore, the GCF of Fractions 8612/27,9692/684 is 4/2052

Least Common Multiple of 27,684 with GCF Formula

Least Common Multiple of 27,684 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 27,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,684) = 9

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

GCF(27,684) x common factors =9 x 1 = 9

LCM(27,684) = ( 27 × 684 ) / 9

LCM(27,684) = 18468 / 9

LCM(27,684) = 2052


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 8612/27, 9692/684

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 8612/27, 9692/684?

Answer: GCF of Numerators as per given numbers 8612/27, 9692/684 is

GCF of Numerators i.e. for 8612,9692 is 4

LCM of denominators i.e. for 27,684 is 2052.

Thus, GCF of Fractions is 4/2052.Finally, GCF of Fractions for 8612/27, 9692/684 is 4/2052.