Greatest Common Factor of 227/477, 360/559, 567/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 227/477, 360/559, 567/211

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 227/477,360/559,567/211

Given fractions are 227/477,360/559,567/211

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 227,360,567

Greatest Common Factor of Numerators i.e. GCF of 227,360,567 is 1 .

LCM of Denominators means LCM of 477,559,211 as per the given fractions.

LCM of 477,559,211 is 56261673 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 227,360,567

GCF of Fractions 227/477,360/559,567/211 is 1/56261673

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 227,360,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 227,360,567 By Matching Biggest Common Factor Method

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 227,360,567 . The biggest common factor number is the GCF number.
So the greatest common factor 227,360,567 is 1.

Lets's calculate LCM of 477,559,211

Given numbers has no common factors except 1. So, there LCM is their product i.e 56261673

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56261673

Therefore, the GCF of Fractions 227/477,360/559,567/211 is 1/56261673

Least Common Multiple of 477,559,211 with GCF Formula

Least Common Multiple of 477,559,211 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 477,559,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,559,211) = 1

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

GCF(477,559,211) x common factors =1 x 1 = 1

LCM(477,559,211) = ( 477 × 559 × 211 ) / 1

LCM(477,559,211) = 56261673 / 1

LCM(477,559,211) = 56261673


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 227/477, 360/559, 567/211

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 227/477, 360/559, 567/211?

Answer: GCF of Numerators as per given numbers 227/477, 360/559, 567/211 is

GCF of Numerators i.e. for 227,360,567 is 1

LCM of denominators i.e. for 477,559,211 is 56261673.

Thus, GCF of Fractions is 1/56261673.Finally, GCF of Fractions for 227/477, 360/559, 567/211 is 1/56261673.