GCD of 555, 189, 60, 552 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 555, 189, 60, 552 i.e. 3 largest integer that divides all the numbers equally.

GCD of 555, 189, 60, 552 is 3

GCD(555, 189, 60, 552) = 3

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 555, 189, 60, 552 is 3

GCD(555, 189, 60, 552) = 3

GCD of 555,189,60,552 Calculator

GCDof 555,189,60,552 is 3

Given Input numbers are 555, 189, 60, 552

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 555, 189, 60, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 555, 189, 60, 552 is 3.

Therefore, GCD of numbers 555, 189, 60, 552 is 3

Finding GCD of 555, 189, 60, 552 using Prime Factorization

Given Input Data is 555, 189, 60, 552

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 555 is 3 x 5 x 37

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 555, 189, 60, 552 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(555, 189) = 34965

GCD(555, 189) = ( 555 x 189 ) / 34965

GCD(555, 189) = 104895 / 34965

GCD(555, 189) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 60

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

GCD(3, 60) = 180 / 60

GCD(3, 60) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 552

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 552) = 552

GCD(3, 552) = ( 3 x 552 ) / 552

GCD(3, 552) = 1656 / 552

GCD(3, 552) = 3

GCD of 555, 189, 60, 552 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 555, 189, 60, 552

1. What is the GCD of 555, 189, 60, 552?

GCD of 555, 189, 60, 552 is 3


2. Where do I get the detailed procedure to find GCD of 555, 189, 60, 552?

You can find a detailed procedure to find GCD of 555, 189, 60, 552 on our page.


3. How to find GCD of 555, 189, 60, 552 on a calculator?

You can find the GCD of 555, 189, 60, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.