Greatest Common Factor of 285/424, 723/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 285/424, 723/567

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 285/424,723/567

Given fractions are 285/424,723/567

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 285,723

Greatest Common Factor of Numerators i.e. GCF of 285,723 is 3 .

LCM of Denominators means LCM of 424,567 as per the given fractions.

LCM of 424,567 is 240408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 285,723

GCF of Fractions 285/424,723/567 is 3/240408

3 285, 723
95, 241

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

Greatest Common Factor of 285,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,723 By Matching Biggest Common Factor Method

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

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 285,723 . The biggest common factor number is the GCF number.
So the greatest common factor 285,723 is 3.

Lets's calculate LCM of 424,567

Given numbers has no common factors except 1. So, there LCM is their product i.e 240408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/240408

Therefore, the GCF of Fractions 285/424,723/567 is 3/240408

Least Common Multiple of 424,567 with GCF Formula

Least Common Multiple of 424,567 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 424,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,567) = 1

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

GCF(424,567) x common factors =1 x 1 = 1

LCM(424,567) = ( 424 × 567 ) / 1

LCM(424,567) = 240408 / 1

LCM(424,567) = 240408


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 285/424, 723/567

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 285/424, 723/567?

Answer: GCF of Numerators as per given numbers 285/424, 723/567 is

GCF of Numerators i.e. for 285,723 is 3

LCM of denominators i.e. for 424,567 is 240408.

Thus, GCF of Fractions is 3/240408.Finally, GCF of Fractions for 285/424, 723/567 is 3/240408.