Greatest Common Factor of 255/8124, 732/6304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 255/8124, 732/6304

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 255/8124,732/6304

Given fractions are 255/8124,732/6304

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 255,732

Greatest Common Factor of Numerators i.e. GCF of 255,732 is 3 .

LCM of Denominators means LCM of 8124,6304 as per the given fractions.

LCM of 8124,6304 is 12803424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 255,732

GCF of Fractions 255/8124,732/6304 is 3/12803424

3 255, 732
85, 244

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 255,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,732 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 255,732 . The biggest common factor number is the GCF number.
So the greatest common factor 255,732 is 3.

Lets's calculate LCM of 8124,6304

2 8124, 6304
2 4062, 3152
2031, 1576

∴ So the LCM of the given numbers is 2 x 2 x 2031 x 1576 = 12803424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12803424

Therefore, the GCF of Fractions 255/8124,732/6304 is 3/12803424

Least Common Multiple of 8124,6304 with GCF Formula

Least Common Multiple of 8124,6304 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 8124,6304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8124,6304) = 4

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

GCF(8124,6304) x common factors =4 x 1 = 4

LCM(8124,6304) = ( 8124 × 6304 ) / 4

LCM(8124,6304) = 51213696 / 4

LCM(8124,6304) = 12803424


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 255/8124, 732/6304

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 255/8124, 732/6304?

Answer: GCF of Numerators as per given numbers 255/8124, 732/6304 is

GCF of Numerators i.e. for 255,732 is 3

LCM of denominators i.e. for 8124,6304 is 12803424.

Thus, GCF of Fractions is 3/12803424.Finally, GCF of Fractions for 255/8124, 732/6304 is 3/12803424.