Greatest Common Factor of 4665/32, 9579/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4665/32, 9579/129

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 4665/32,9579/129

Given fractions are 4665/32,9579/129

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 4665,9579

Greatest Common Factor of Numerators i.e. GCF of 4665,9579 is 3 .

LCM of Denominators means LCM of 32,129 as per the given fractions.

LCM of 32,129 is 4128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4665,9579

GCF of Fractions 4665/32,9579/129 is 3/4128

3 4665, 9579
1555, 3193

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

Greatest Common Factor of 4665,9579 By Matching Biggest Common Factor Method

Greatest Common Factor of 4665,9579 By Matching Biggest Common Factor Method

Factors of 4665

List of positive integer factors of 4665 that divides 4665 without a remainder.

1,3,5,15,311,933,1555,4665

Factors of 9579

List of positive integer factors of 9579 that divides 9579 without a remainder.

1,3,31,93,103,309,3193,9579

Greatest Common Factor

We found the factors 4665,9579 . The biggest common factor number is the GCF number.
So the greatest common factor 4665,9579 is 3.

Lets's calculate LCM of 32,129

Given numbers has no common factors except 1. So, there LCM is their product i.e 4128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4128

Therefore, the GCF of Fractions 4665/32,9579/129 is 3/4128

Least Common Multiple of 32,129 with GCF Formula

Least Common Multiple of 32,129 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 32,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,129) = 1

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

GCF(32,129) x common factors =1 x 1 = 1

LCM(32,129) = ( 32 × 129 ) / 1

LCM(32,129) = 4128 / 1

LCM(32,129) = 4128


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 4665/32, 9579/129

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 4665/32, 9579/129?

Answer: GCF of Numerators as per given numbers 4665/32, 9579/129 is

GCF of Numerators i.e. for 4665,9579 is 3

LCM of denominators i.e. for 32,129 is 4128.

Thus, GCF of Fractions is 3/4128.Finally, GCF of Fractions for 4665/32, 9579/129 is 3/4128.