Greatest Common Factor of 6600/72, 4566/337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6600/72, 4566/337

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 6600/72,4566/337

Given fractions are 6600/72,4566/337

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 6600,4566

Greatest Common Factor of Numerators i.e. GCF of 6600,4566 is 6 .

LCM of Denominators means LCM of 72,337 as per the given fractions.

LCM of 72,337 is 24264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6600,4566

GCF of Fractions 6600/72,4566/337 is 6/24264

2 6600, 4566
3 3300, 2283
1100, 761

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 6600,4566 By Matching Biggest Common Factor Method

Greatest Common Factor of 6600,4566 By Matching Biggest Common Factor Method

Factors of 6600

List of positive integer factors of 6600 that divides 6600 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,20,22,24,25,30,33,40,44,50,55,60,66,75,88,100,110,120,132,150,165,200,220,264,275,300,330,440,550,600,660,825,1100,1320,1650,2200,3300,6600

Factors of 4566

List of positive integer factors of 4566 that divides 4566 without a remainder.

1,2,3,6,761,1522,2283,4566

Greatest Common Factor

We found the factors 6600,4566 . The biggest common factor number is the GCF number.
So the greatest common factor 6600,4566 is 6.

Lets's calculate LCM of 72,337

Given numbers has no common factors except 1. So, there LCM is their product i.e 24264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/24264

Therefore, the GCF of Fractions 6600/72,4566/337 is 6/24264

Least Common Multiple of 72,337 with GCF Formula

Least Common Multiple of 72,337 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 72,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,337) = 1

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

GCF(72,337) x common factors =1 x 1 = 1

LCM(72,337) = ( 72 × 337 ) / 1

LCM(72,337) = 24264 / 1

LCM(72,337) = 24264


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 6600/72, 4566/337

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 6600/72, 4566/337?

Answer: GCF of Numerators as per given numbers 6600/72, 4566/337 is

GCF of Numerators i.e. for 6600,4566 is 6

LCM of denominators i.e. for 72,337 is 24264.

Thus, GCF of Fractions is 6/24264.Finally, GCF of Fractions for 6600/72, 4566/337 is 6/24264.