Greatest Common Factor of 222/567, 7275/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 222/567, 7275/273

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 222/567,7275/273

Given fractions are 222/567,7275/273

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 222,7275

Greatest Common Factor of Numerators i.e. GCF of 222,7275 is 3 .

LCM of Denominators means LCM of 567,273 as per the given fractions.

LCM of 567,273 is 7371 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 222,7275

GCF of Fractions 222/567,7275/273 is 3/7371

3 222, 7275
74, 2425

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

Greatest Common Factor of 222,7275 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,7275 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 7275

List of positive integer factors of 7275 that divides 7275 without a remainder.

1,3,5,15,25,75,97,291,485,1455,2425,7275

Greatest Common Factor

We found the factors 222,7275 . The biggest common factor number is the GCF number.
So the greatest common factor 222,7275 is 3.

Lets's calculate LCM of 567,273

3 567, 273
7 189, 91
27, 13

∴ So the LCM of the given numbers is 3 x 7 x 27 x 13 = 7371

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7371

Therefore, the GCF of Fractions 222/567,7275/273 is 3/7371

Least Common Multiple of 567,273 with GCF Formula

Least Common Multiple of 567,273 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 567,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,273) = 21

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

GCF(567,273) x common factors =21 x 1 = 21

LCM(567,273) = ( 567 × 273 ) / 21

LCM(567,273) = 154791 / 21

LCM(567,273) = 7371


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 222/567, 7275/273

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 222/567, 7275/273?

Answer: GCF of Numerators as per given numbers 222/567, 7275/273 is

GCF of Numerators i.e. for 222,7275 is 3

LCM of denominators i.e. for 567,273 is 7371.

Thus, GCF of Fractions is 3/7371.Finally, GCF of Fractions for 222/567, 7275/273 is 3/7371.