Greatest Common Factor of 9196/99, 9004/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9196/99, 9004/132

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 9196/99,9004/132

Given fractions are 9196/99,9004/132

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 9196,9004

Greatest Common Factor of Numerators i.e. GCF of 9196,9004 is 4 .

LCM of Denominators means LCM of 99,132 as per the given fractions.

LCM of 99,132 is 396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9196,9004

GCF of Fractions 9196/99,9004/132 is 4/396

2 9196, 9004
2 4598, 4502
2299, 2251

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

Greatest Common Factor of 9196,9004 By Matching Biggest Common Factor Method

Greatest Common Factor of 9196,9004 By Matching Biggest Common Factor Method

Factors of 9196

List of positive integer factors of 9196 that divides 9196 without a remainder.

1,2,4,11,19,22,38,44,76,121,209,242,418,484,836,2299,4598,9196

Factors of 9004

List of positive integer factors of 9004 that divides 9004 without a remainder.

1,2,4,2251,4502,9004

Greatest Common Factor

We found the factors 9196,9004 . The biggest common factor number is the GCF number.
So the greatest common factor 9196,9004 is 4.

Lets's calculate LCM of 99,132

3 99, 132
11 33, 44
3, 4

∴ So the LCM of the given numbers is 3 x 11 x 3 x 4 = 396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/396

Therefore, the GCF of Fractions 9196/99,9004/132 is 4/396

Least Common Multiple of 99,132 with GCF Formula

Least Common Multiple of 99,132 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 99,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,132) = 33

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

GCF(99,132) x common factors =33 x 1 = 33

LCM(99,132) = ( 99 × 132 ) / 33

LCM(99,132) = 13068 / 33

LCM(99,132) = 396


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 9196/99, 9004/132

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 9196/99, 9004/132?

Answer: GCF of Numerators as per given numbers 9196/99, 9004/132 is

GCF of Numerators i.e. for 9196,9004 is 4

LCM of denominators i.e. for 99,132 is 396.

Thus, GCF of Fractions is 4/396.Finally, GCF of Fractions for 9196/99, 9004/132 is 4/396.