Greatest Common Factor of 255/32, 723/929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 255/32, 723/929

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 255/32,723/929

Given fractions are 255/32,723/929

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 255,723

Greatest Common Factor of Numerators i.e. GCF of 255,723 is 3 .

LCM of Denominators means LCM of 32,929 as per the given fractions.

LCM of 32,929 is 29728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 255,723

GCF of Fractions 255/32,723/929 is 3/29728

3 255, 723
85, 241

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

Greatest Common Factor of 255,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,723 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 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 255,723 . The biggest common factor number is the GCF number.
So the greatest common factor 255,723 is 3.

Lets's calculate LCM of 32,929

Given numbers has no common factors except 1. So, there LCM is their product i.e 29728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/29728

Therefore, the GCF of Fractions 255/32,723/929 is 3/29728

Least Common Multiple of 32,929 with GCF Formula

Least Common Multiple of 32,929 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 32,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,929) = 1

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

GCF(32,929) x common factors =1 x 1 = 1

LCM(32,929) = ( 32 × 929 ) / 1

LCM(32,929) = 29728 / 1

LCM(32,929) = 29728


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 255/32, 723/929

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 255/32, 723/929?

Answer: GCF of Numerators as per given numbers 255/32, 723/929 is

GCF of Numerators i.e. for 255,723 is 3

LCM of denominators i.e. for 32,929 is 29728.

Thus, GCF of Fractions is 3/29728.Finally, GCF of Fractions for 255/32, 723/929 is 3/29728.