Greatest Common Factor of 9372/66, 9768/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 9372/66, 9768/449

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 9372/66,9768/449

Given fractions are 9372/66,9768/449

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 9372,9768

Greatest Common Factor of Numerators i.e. GCF of 9372,9768 is 132 .

LCM of Denominators means LCM of 66,449 as per the given fractions.

LCM of 66,449 is 29634 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9372,9768

GCF of Fractions 9372/66,9768/449 is 132/29634

2 9372, 9768
2 4686, 4884
3 2343, 2442
11 781, 814
71, 74

∴ So the GCF of the given numbers is 2 x 2 x 3 x 11 = 132

Greatest Common Factor of 9372,9768 By Matching Biggest Common Factor Method

Greatest Common Factor of 9372,9768 By Matching Biggest Common Factor Method

Factors of 9372

List of positive integer factors of 9372 that divides 9372 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,71,132,142,213,284,426,781,852,1562,2343,3124,4686,9372

Factors of 9768

List of positive integer factors of 9768 that divides 9768 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,37,44,66,74,88,111,132,148,222,264,296,407,444,814,888,1221,1628,2442,3256,4884,9768

Greatest Common Factor

We found the factors 9372,9768 . The biggest common factor number is the GCF number.
So the greatest common factor 9372,9768 is 132.


Lets's calculate LCM of 66,449

Given numbers has no common factors except 1. So, there LCM is their product i.e 29634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 132/29634

Therefore, the GCF of Fractions 9372/66,9768/449 is 132/29634

Least Common Multiple of 66,449 with GCF Formula

Least Common Multiple of 66,449 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 66,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,449) = 1

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

GCF(66,449) x common factors =1 x 1 = 1

LCM(66,449) = ( 66 × 449 ) / 1

LCM(66,449) = 29634 / 1

LCM(66,449) = 29634


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 9372/66, 9768/449

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 9372/66, 9768/449?

Answer: GCF of Numerators as per given numbers 9372/66, 9768/449 is

GCF of Numerators i.e. for 9372,9768 is 132

LCM of denominators i.e. for 66,449 is 29634.

Thus, GCF of Fractions is 132/29634.Finally, GCF of Fractions for 9372/66, 9768/449 is 132/29634.