Greatest Common Factor of 6336/867, 9012/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6336/867, 9012/426

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 6336/867,9012/426

Given fractions are 6336/867,9012/426

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 6336,9012

Greatest Common Factor of Numerators i.e. GCF of 6336,9012 is 12 .

LCM of Denominators means LCM of 867,426 as per the given fractions.

LCM of 867,426 is 123114 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6336,9012

GCF of Fractions 6336/867,9012/426 is 12/123114

2 6336, 9012
2 3168, 4506
3 1584, 2253
528, 751

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

Greatest Common Factor of 6336,9012 By Matching Biggest Common Factor Method

Greatest Common Factor of 6336,9012 By Matching Biggest Common Factor Method

Factors of 6336

List of positive integer factors of 6336 that divides 6336 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,64,66,72,88,96,99,132,144,176,192,198,264,288,352,396,528,576,704,792,1056,1584,2112,3168,6336

Factors of 9012

List of positive integer factors of 9012 that divides 9012 without a remainder.

1,2,3,4,6,12,751,1502,2253,3004,4506,9012

Greatest Common Factor

We found the factors 6336,9012 . The biggest common factor number is the GCF number.
So the greatest common factor 6336,9012 is 12.

Lets's calculate LCM of 867,426

3 867, 426
289, 142

∴ So the LCM of the given numbers is 3 x 289 x 142 = 123114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/123114

Therefore, the GCF of Fractions 6336/867,9012/426 is 12/123114

Least Common Multiple of 867,426 with GCF Formula

Least Common Multiple of 867,426 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 867,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,426) = 3

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

GCF(867,426) x common factors =3 x 1 = 3

LCM(867,426) = ( 867 × 426 ) / 3

LCM(867,426) = 369342 / 3

LCM(867,426) = 123114


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 6336/867, 9012/426

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 6336/867, 9012/426?

Answer: GCF of Numerators as per given numbers 6336/867, 9012/426 is

GCF of Numerators i.e. for 6336,9012 is 12

LCM of denominators i.e. for 867,426 is 123114.

Thus, GCF of Fractions is 12/123114.Finally, GCF of Fractions for 6336/867, 9012/426 is 12/123114.