Greatest Common Factor of 255/37, 531/76, 843/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 255/37, 531/76, 843/348

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 255/37,531/76,843/348

Given fractions are 255/37,531/76,843/348

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 255,531,843

Greatest Common Factor of Numerators i.e. GCF of 255,531,843 is 3 .

LCM of Denominators means LCM of 37,76,348 as per the given fractions.

LCM of 37,76,348 is 244644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 255,531,843

GCF of Fractions 255/37,531/76,843/348 is 3/244644

3 255, 531, 843
85, 177, 281

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

Greatest Common Factor of 255,531,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,531,843 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 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 255,531,843 . The biggest common factor number is the GCF number.
So the greatest common factor 255,531,843 is 3.

Lets's calculate LCM of 37,76,348

2 37, 76, 348
2 37, 38, 174
37, 19, 87

∴ So the LCM of the given numbers is 2 x 2 x 37 x 19 x 87 = 244644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/244644

Therefore, the GCF of Fractions 255/37,531/76,843/348 is 3/244644

Least Common Multiple of 37,76,348 with GCF Formula

Least Common Multiple of 37,76,348 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 37,76,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,76,348) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(37,76,348) x common factors =1 x 4 = 4

LCM(37,76,348) = ( 37 × 76 × 348 ) / 4

LCM(37,76,348) = 978576 / 4

LCM(37,76,348) = 244644


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 255/37, 531/76, 843/348

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 255/37, 531/76, 843/348?

Answer: GCF of Numerators as per given numbers 255/37, 531/76, 843/348 is

GCF of Numerators i.e. for 255,531,843 is 3

LCM of denominators i.e. for 37,76,348 is 244644.

Thus, GCF of Fractions is 3/244644.Finally, GCF of Fractions for 255/37, 531/76, 843/348 is 3/244644.