Greatest Common Factor of 255/25, 8049/839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 255/25, 8049/839

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 255/25,8049/839

Given fractions are 255/25,8049/839

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 255,8049

Greatest Common Factor of Numerators i.e. GCF of 255,8049 is 3 .

LCM of Denominators means LCM of 25,839 as per the given fractions.

LCM of 25,839 is 20975 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 255,8049

GCF of Fractions 255/25,8049/839 is 3/20975

3 255, 8049
85, 2683

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

Greatest Common Factor of 255,8049 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,8049 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 8049

List of positive integer factors of 8049 that divides 8049 without a remainder.

1,3,2683,8049

Greatest Common Factor

We found the factors 255,8049 . The biggest common factor number is the GCF number.
So the greatest common factor 255,8049 is 3.

Lets's calculate LCM of 25,839

Given numbers has no common factors except 1. So, there LCM is their product i.e 20975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/20975

Therefore, the GCF of Fractions 255/25,8049/839 is 3/20975

Least Common Multiple of 25,839 with GCF Formula

Least Common Multiple of 25,839 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 25,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,839) = 1

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

GCF(25,839) x common factors =1 x 1 = 1

LCM(25,839) = ( 25 × 839 ) / 1

LCM(25,839) = 20975 / 1

LCM(25,839) = 20975


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 255/25, 8049/839

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 255/25, 8049/839?

Answer: GCF of Numerators as per given numbers 255/25, 8049/839 is

GCF of Numerators i.e. for 255,8049 is 3

LCM of denominators i.e. for 25,839 is 20975.

Thus, GCF of Fractions is 3/20975.Finally, GCF of Fractions for 255/25, 8049/839 is 3/20975.