Greatest Common Factor of 228/565, 9215/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 228/565, 9215/729

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 228/565,9215/729

Given fractions are 228/565,9215/729

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 228,9215

Greatest Common Factor of Numerators i.e. GCF of 228,9215 is 19 .

LCM of Denominators means LCM of 565,729 as per the given fractions.

LCM of 565,729 is 411885 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 228,9215

GCF of Fractions 228/565,9215/729 is 19/411885

19 228, 9215
12, 485

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 228,9215 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,9215 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 9215

List of positive integer factors of 9215 that divides 9215 without a remainder.

1,5,19,95,97,485,1843,9215

Greatest Common Factor

We found the factors 228,9215 . The biggest common factor number is the GCF number.
So the greatest common factor 228,9215 is 19.

Lets's calculate LCM of 565,729

Given numbers has no common factors except 1. So, there LCM is their product i.e 411885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/411885

Therefore, the GCF of Fractions 228/565,9215/729 is 19/411885

Least Common Multiple of 565,729 with GCF Formula

Least Common Multiple of 565,729 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 565,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,729) = 1

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

GCF(565,729) x common factors =1 x 1 = 1

LCM(565,729) = ( 565 × 729 ) / 1

LCM(565,729) = 411885 / 1

LCM(565,729) = 411885


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 228/565, 9215/729

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 228/565, 9215/729?

Answer: GCF of Numerators as per given numbers 228/565, 9215/729 is

GCF of Numerators i.e. for 228,9215 is 19

LCM of denominators i.e. for 565,729 is 411885.

Thus, GCF of Fractions is 19/411885.Finally, GCF of Fractions for 228/565, 9215/729 is 19/411885.