Greatest Common Factor of 600/41, 387/64, 272/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 600/41, 387/64, 272/635

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 600/41,387/64,272/635

Given fractions are 600/41,387/64,272/635

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 600,387,272

Greatest Common Factor of Numerators i.e. GCF of 600,387,272 is 1 .

LCM of Denominators means LCM of 41,64,635 as per the given fractions.

LCM of 41,64,635 is 1666240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 600,387,272

GCF of Fractions 600/41,387/64,272/635 is 1/1666240

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 600,387,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,387,272 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 600,387,272 . The biggest common factor number is the GCF number.
So the greatest common factor 600,387,272 is 1.

Lets's calculate LCM of 41,64,635

Given numbers has no common factors except 1. So, there LCM is their product i.e 1666240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1666240

Therefore, the GCF of Fractions 600/41,387/64,272/635 is 1/1666240

Least Common Multiple of 41,64,635 with GCF Formula

Least Common Multiple of 41,64,635 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 41,64,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,64,635) = 1

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

GCF(41,64,635) x common factors =1 x 1 = 1

LCM(41,64,635) = ( 41 × 64 × 635 ) / 1

LCM(41,64,635) = 1666240 / 1

LCM(41,64,635) = 1666240


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 600/41, 387/64, 272/635

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 600/41, 387/64, 272/635?

Answer: GCF of Numerators as per given numbers 600/41, 387/64, 272/635 is

GCF of Numerators i.e. for 600,387,272 is 1

LCM of denominators i.e. for 41,64,635 is 1666240.

Thus, GCF of Fractions is 1/1666240.Finally, GCF of Fractions for 600/41, 387/64, 272/635 is 1/1666240.