Greatest Common Factor of 9768/660, 1132/8220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9768/660, 1132/8220

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 9768/660,1132/8220

Given fractions are 9768/660,1132/8220

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 9768,1132

Greatest Common Factor of Numerators i.e. GCF of 9768,1132 is 4 .

LCM of Denominators means LCM of 660,8220 as per the given fractions.

LCM of 660,8220 is 90420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9768,1132

GCF of Fractions 9768/660,1132/8220 is 4/90420

2 9768, 1132
2 4884, 566
2442, 283

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

Greatest Common Factor of 9768,1132 By Matching Biggest Common Factor Method

Greatest Common Factor of 9768,1132 By Matching Biggest Common Factor Method

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

Factors of 1132

List of positive integer factors of 1132 that divides 1132 without a remainder.

1,2,4,283,566,1132

Greatest Common Factor

We found the factors 9768,1132 . The biggest common factor number is the GCF number.
So the greatest common factor 9768,1132 is 4.

Lets's calculate LCM of 660,8220

2 660, 8220
2 330, 4110
3 165, 2055
5 55, 685
11, 137

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 11 x 137 = 90420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/90420

Therefore, the GCF of Fractions 9768/660,1132/8220 is 4/90420

Least Common Multiple of 660,8220 with GCF Formula

Least Common Multiple of 660,8220 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 660,8220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,8220) = 60

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

GCF(660,8220) x common factors =60 x 1 = 60

LCM(660,8220) = ( 660 × 8220 ) / 60

LCM(660,8220) = 5425200 / 60

LCM(660,8220) = 90420


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 9768/660, 1132/8220

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 9768/660, 1132/8220?

Answer: GCF of Numerators as per given numbers 9768/660, 1132/8220 is

GCF of Numerators i.e. for 9768,1132 is 4

LCM of denominators i.e. for 660,8220 is 90420.

Thus, GCF of Fractions is 4/90420.Finally, GCF of Fractions for 9768/660, 1132/8220 is 4/90420.