Greatest Common Factor of 33/960, 9138/9558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 33/960, 9138/9558

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 33/960,9138/9558

Given fractions are 33/960,9138/9558

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 33,9138

Greatest Common Factor of Numerators i.e. GCF of 33,9138 is 3 .

LCM of Denominators means LCM of 960,9558 as per the given fractions.

LCM of 960,9558 is 1529280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 33,9138

GCF of Fractions 33/960,9138/9558 is 3/1529280

3 33, 9138
11, 3046

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

Greatest Common Factor of 33,9138 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,9138 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 9138

List of positive integer factors of 9138 that divides 9138 without a remainder.

1,2,3,6,1523,3046,4569,9138

Greatest Common Factor

We found the factors 33,9138 . The biggest common factor number is the GCF number.
So the greatest common factor 33,9138 is 3.

Lets's calculate LCM of 960,9558

2 960, 9558
3 480, 4779
160, 1593

∴ So the LCM of the given numbers is 2 x 3 x 160 x 1593 = 1529280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1529280

Therefore, the GCF of Fractions 33/960,9138/9558 is 3/1529280

Least Common Multiple of 960,9558 with GCF Formula

Least Common Multiple of 960,9558 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 960,9558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,9558) = 6

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

GCF(960,9558) x common factors =6 x 1 = 6

LCM(960,9558) = ( 960 × 9558 ) / 6

LCM(960,9558) = 9175680 / 6

LCM(960,9558) = 1529280


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 33/960, 9138/9558

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 33/960, 9138/9558?

Answer: GCF of Numerators as per given numbers 33/960, 9138/9558 is

GCF of Numerators i.e. for 33,9138 is 3

LCM of denominators i.e. for 960,9558 is 1529280.

Thus, GCF of Fractions is 3/1529280.Finally, GCF of Fractions for 33/960, 9138/9558 is 3/1529280.