Greatest Common Factor of 323/256, 504/352, 333/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 323/256, 504/352, 333/506

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 323/256,504/352,333/506

Given fractions are 323/256,504/352,333/506

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 323,504,333

Greatest Common Factor of Numerators i.e. GCF of 323,504,333 is 1 .

LCM of Denominators means LCM of 256,352,506 as per the given fractions.

LCM of 256,352,506 is 64768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 323,504,333

GCF of Fractions 323/256,504/352,333/506 is 1/64768

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

Greatest Common Factor of 323,504,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 323,504,333 By Matching Biggest Common Factor Method

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 323,504,333 . The biggest common factor number is the GCF number.
So the greatest common factor 323,504,333 is 1.

Lets's calculate LCM of 256,352,506

2 256, 352, 506
2 128, 176, 253
2 64, 88, 253
2 32, 44, 253
2 16, 22, 253
11 8, 11, 253
8, 1, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 11 x 8 x 1 x 23 = 64768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64768

Therefore, the GCF of Fractions 323/256,504/352,333/506 is 1/64768

Least Common Multiple of 256,352,506 with GCF Formula

Least Common Multiple of 256,352,506 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 256,352,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,352,506) = 2

common factors(in case of two or more numbers have common factors) = 352

GCF(256,352,506) x common factors =2 x 352 = 704

LCM(256,352,506) = ( 256 × 352 × 506 ) / 704

LCM(256,352,506) = 45596672 / 704

LCM(256,352,506) = 64768


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 323/256, 504/352, 333/506

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 323/256, 504/352, 333/506?

Answer: GCF of Numerators as per given numbers 323/256, 504/352, 333/506 is

GCF of Numerators i.e. for 323,504,333 is 1

LCM of denominators i.e. for 256,352,506 is 64768.

Thus, GCF of Fractions is 1/64768.Finally, GCF of Fractions for 323/256, 504/352, 333/506 is 1/64768.