Greatest Common Factor of 9144/83, 9636/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9144/83, 9636/274

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 9144/83,9636/274

Given fractions are 9144/83,9636/274

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 9144,9636

Greatest Common Factor of Numerators i.e. GCF of 9144,9636 is 12 .

LCM of Denominators means LCM of 83,274 as per the given fractions.

LCM of 83,274 is 22742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9144,9636

GCF of Fractions 9144/83,9636/274 is 12/22742

2 9144, 9636
2 4572, 4818
3 2286, 2409
762, 803

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

Greatest Common Factor of 9144,9636 By Matching Biggest Common Factor Method

Greatest Common Factor of 9144,9636 By Matching Biggest Common Factor Method

Factors of 9144

List of positive integer factors of 9144 that divides 9144 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,127,254,381,508,762,1016,1143,1524,2286,3048,4572,9144

Factors of 9636

List of positive integer factors of 9636 that divides 9636 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,73,132,146,219,292,438,803,876,1606,2409,3212,4818,9636

Greatest Common Factor

We found the factors 9144,9636 . The biggest common factor number is the GCF number.
So the greatest common factor 9144,9636 is 12.

Lets's calculate LCM of 83,274

Given numbers has no common factors except 1. So, there LCM is their product i.e 22742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/22742

Therefore, the GCF of Fractions 9144/83,9636/274 is 12/22742

Least Common Multiple of 83,274 with GCF Formula

Least Common Multiple of 83,274 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 83,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,274) = 1

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

GCF(83,274) x common factors =1 x 1 = 1

LCM(83,274) = ( 83 × 274 ) / 1

LCM(83,274) = 22742 / 1

LCM(83,274) = 22742


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 9144/83, 9636/274

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 9144/83, 9636/274?

Answer: GCF of Numerators as per given numbers 9144/83, 9636/274 is

GCF of Numerators i.e. for 9144,9636 is 12

LCM of denominators i.e. for 83,274 is 22742.

Thus, GCF of Fractions is 12/22742.Finally, GCF of Fractions for 9144/83, 9636/274 is 12/22742.