Greatest Common Factor of 9366/32, 9687/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9366/32, 9687/128

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 9366/32,9687/128

Given fractions are 9366/32,9687/128

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 9366,9687

Greatest Common Factor of Numerators i.e. GCF of 9366,9687 is 3 .

LCM of Denominators means LCM of 32,128 as per the given fractions.

LCM of 32,128 is 128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9366,9687

GCF of Fractions 9366/32,9687/128 is 3/128

3 9366, 9687
3122, 3229

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

Greatest Common Factor of 9366,9687 By Matching Biggest Common Factor Method

Greatest Common Factor of 9366,9687 By Matching Biggest Common Factor Method

Factors of 9366

List of positive integer factors of 9366 that divides 9366 without a remainder.

1,2,3,6,7,14,21,42,223,446,669,1338,1561,3122,4683,9366

Factors of 9687

List of positive integer factors of 9687 that divides 9687 without a remainder.

1,3,3229,9687

Greatest Common Factor

We found the factors 9366,9687 . The biggest common factor number is the GCF number.
So the greatest common factor 9366,9687 is 3.

Lets's calculate LCM of 32,128

2 32, 128
2 16, 64
2 8, 32
2 4, 16
2 2, 8
1, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 1 x 4 = 128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/128

Therefore, the GCF of Fractions 9366/32,9687/128 is 3/128

Least Common Multiple of 32,128 with GCF Formula

Least Common Multiple of 32,128 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 32,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,128) = 32

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

GCF(32,128) x common factors =32 x 1 = 32

LCM(32,128) = ( 32 × 128 ) / 32

LCM(32,128) = 4096 / 32

LCM(32,128) = 128


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 9366/32, 9687/128

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 9366/32, 9687/128?

Answer: GCF of Numerators as per given numbers 9366/32, 9687/128 is

GCF of Numerators i.e. for 9366,9687 is 3

LCM of denominators i.e. for 32,128 is 128.

Thus, GCF of Fractions is 3/128.Finally, GCF of Fractions for 9366/32, 9687/128 is 3/128.