Greatest Common Factor of 9012/656, 2967/7014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9012/656, 2967/7014

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 9012/656,2967/7014

Given fractions are 9012/656,2967/7014

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 9012,2967

Greatest Common Factor of Numerators i.e. GCF of 9012,2967 is 3 .

LCM of Denominators means LCM of 656,7014 as per the given fractions.

LCM of 656,7014 is 2300592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9012,2967

GCF of Fractions 9012/656,2967/7014 is 3/2300592

3 9012, 2967
3004, 989

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

Greatest Common Factor of 9012,2967 By Matching Biggest Common Factor Method

Greatest Common Factor of 9012,2967 By Matching Biggest Common Factor Method

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

Factors of 2967

List of positive integer factors of 2967 that divides 2967 without a remainder.

1,3,23,43,69,129,989,2967

Greatest Common Factor

We found the factors 9012,2967 . The biggest common factor number is the GCF number.
So the greatest common factor 9012,2967 is 3.

Lets's calculate LCM of 656,7014

2 656, 7014
328, 3507

∴ So the LCM of the given numbers is 2 x 328 x 3507 = 2300592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2300592

Therefore, the GCF of Fractions 9012/656,2967/7014 is 3/2300592

Least Common Multiple of 656,7014 with GCF Formula

Least Common Multiple of 656,7014 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 656,7014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,7014) = 2

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

GCF(656,7014) x common factors =2 x 1 = 2

LCM(656,7014) = ( 656 × 7014 ) / 2

LCM(656,7014) = 4601184 / 2

LCM(656,7014) = 2300592


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 9012/656, 2967/7014

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 9012/656, 2967/7014?

Answer: GCF of Numerators as per given numbers 9012/656, 2967/7014 is

GCF of Numerators i.e. for 9012,2967 is 3

LCM of denominators i.e. for 656,7014 is 2300592.

Thus, GCF of Fractions is 3/2300592.Finally, GCF of Fractions for 9012/656, 2967/7014 is 3/2300592.