Greatest Common Factor of 443/21, 772/60, 272/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 443/21, 772/60, 272/512

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 443/21,772/60,272/512

Given fractions are 443/21,772/60,272/512

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 443,772,272

Greatest Common Factor of Numerators i.e. GCF of 443,772,272 is 1 .

LCM of Denominators means LCM of 21,60,512 as per the given fractions.

LCM of 21,60,512 is 53760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 443,772,272

GCF of Fractions 443/21,772/60,272/512 is 1/53760

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

Greatest Common Factor of 443,772,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,772,272 By Matching Biggest Common Factor Method

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

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 443,772,272 . The biggest common factor number is the GCF number.
So the greatest common factor 443,772,272 is 1.

Lets's calculate LCM of 21,60,512

2 21, 60, 512
2 21, 30, 256
3 21, 15, 128
7, 5, 128

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 5 x 128 = 53760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53760

Therefore, the GCF of Fractions 443/21,772/60,272/512 is 1/53760

Least Common Multiple of 21,60,512 with GCF Formula

Least Common Multiple of 21,60,512 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 21,60,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,60,512) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(21,60,512) x common factors =1 x 12 = 12

LCM(21,60,512) = ( 21 × 60 × 512 ) / 12

LCM(21,60,512) = 645120 / 12

LCM(21,60,512) = 53760


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 443/21, 772/60, 272/512

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 443/21, 772/60, 272/512?

Answer: GCF of Numerators as per given numbers 443/21, 772/60, 272/512 is

GCF of Numerators i.e. for 443,772,272 is 1

LCM of denominators i.e. for 21,60,512 is 53760.

Thus, GCF of Fractions is 1/53760.Finally, GCF of Fractions for 443/21, 772/60, 272/512 is 1/53760.