Greatest Common Factor of 9612/852, 8079/1466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9612/852, 8079/1466

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 9612/852,8079/1466

Given fractions are 9612/852,8079/1466

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 9612,8079

Greatest Common Factor of Numerators i.e. GCF of 9612,8079 is 3 .

LCM of Denominators means LCM of 852,1466 as per the given fractions.

LCM of 852,1466 is 624516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9612,8079

GCF of Fractions 9612/852,8079/1466 is 3/624516

3 9612, 8079
3204, 2693

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

Greatest Common Factor of 9612,8079 By Matching Biggest Common Factor Method

Greatest Common Factor of 9612,8079 By Matching Biggest Common Factor Method

Factors of 9612

List of positive integer factors of 9612 that divides 9612 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,89,108,178,267,356,534,801,1068,1602,2403,3204,4806,9612

Factors of 8079

List of positive integer factors of 8079 that divides 8079 without a remainder.

1,3,2693,8079

Greatest Common Factor

We found the factors 9612,8079 . The biggest common factor number is the GCF number.
So the greatest common factor 9612,8079 is 3.

Lets's calculate LCM of 852,1466

2 852, 1466
426, 733

∴ So the LCM of the given numbers is 2 x 426 x 733 = 624516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/624516

Therefore, the GCF of Fractions 9612/852,8079/1466 is 3/624516

Least Common Multiple of 852,1466 with GCF Formula

Least Common Multiple of 852,1466 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 852,1466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,1466) = 2

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

GCF(852,1466) x common factors =2 x 1 = 2

LCM(852,1466) = ( 852 × 1466 ) / 2

LCM(852,1466) = 1249032 / 2

LCM(852,1466) = 624516


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 9612/852, 8079/1466

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 9612/852, 8079/1466?

Answer: GCF of Numerators as per given numbers 9612/852, 8079/1466 is

GCF of Numerators i.e. for 9612,8079 is 3

LCM of denominators i.e. for 852,1466 is 624516.

Thus, GCF of Fractions is 3/624516.Finally, GCF of Fractions for 9612/852, 8079/1466 is 3/624516.