Greatest Common Factor of 255/829, 7911/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 255/829, 7911/234

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 255/829,7911/234

Given fractions are 255/829,7911/234

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 255,7911

Greatest Common Factor of Numerators i.e. GCF of 255,7911 is 3 .

LCM of Denominators means LCM of 829,234 as per the given fractions.

LCM of 829,234 is 193986 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 255,7911

GCF of Fractions 255/829,7911/234 is 3/193986

3 255, 7911
85, 2637

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

Greatest Common Factor of 255,7911 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,7911 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 7911

List of positive integer factors of 7911 that divides 7911 without a remainder.

1,3,9,27,293,879,2637,7911

Greatest Common Factor

We found the factors 255,7911 . The biggest common factor number is the GCF number.
So the greatest common factor 255,7911 is 3.

Lets's calculate LCM of 829,234

Given numbers has no common factors except 1. So, there LCM is their product i.e 193986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/193986

Therefore, the GCF of Fractions 255/829,7911/234 is 3/193986

Least Common Multiple of 829,234 with GCF Formula

Least Common Multiple of 829,234 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 829,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,234) = 1

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

GCF(829,234) x common factors =1 x 1 = 1

LCM(829,234) = ( 829 × 234 ) / 1

LCM(829,234) = 193986 / 1

LCM(829,234) = 193986


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 255/829, 7911/234

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 255/829, 7911/234?

Answer: GCF of Numerators as per given numbers 255/829, 7911/234 is

GCF of Numerators i.e. for 255,7911 is 3

LCM of denominators i.e. for 829,234 is 193986.

Thus, GCF of Fractions is 3/193986.Finally, GCF of Fractions for 255/829, 7911/234 is 3/193986.