Greatest Common Factor of 512/921, 433/732, 981/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 512/921, 433/732, 981/241

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 512/921,433/732,981/241

Given fractions are 512/921,433/732,981/241

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 512,433,981

Greatest Common Factor of Numerators i.e. GCF of 512,433,981 is 1 .

LCM of Denominators means LCM of 921,732,241 as per the given fractions.

LCM of 921,732,241 is 54158484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 512,433,981

GCF of Fractions 512/921,433/732,981/241 is 1/54158484

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

Greatest Common Factor of 512,433,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,433,981 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 512,433,981 . The biggest common factor number is the GCF number.
So the greatest common factor 512,433,981 is 1.

Lets's calculate LCM of 921,732,241

3 921, 732, 241
307, 244, 241

∴ So the LCM of the given numbers is 3 x 307 x 244 x 241 = 54158484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54158484

Therefore, the GCF of Fractions 512/921,433/732,981/241 is 1/54158484

Least Common Multiple of 921,732,241 with GCF Formula

Least Common Multiple of 921,732,241 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 921,732,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,732,241) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(921,732,241) x common factors =1 x 3 = 3

LCM(921,732,241) = ( 921 × 732 × 241 ) / 3

LCM(921,732,241) = 162475452 / 3

LCM(921,732,241) = 54158484


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 512/921, 433/732, 981/241

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 512/921, 433/732, 981/241?

Answer: GCF of Numerators as per given numbers 512/921, 433/732, 981/241 is

GCF of Numerators i.e. for 512,433,981 is 1

LCM of denominators i.e. for 921,732,241 is 54158484.

Thus, GCF of Fractions is 1/54158484.Finally, GCF of Fractions for 512/921, 433/732, 981/241 is 1/54158484.