GCD of 189, 378, 555, 696 Calculator

Given Input numbers are 189, 378, 555, 696

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

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 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 189, 378, 555, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 378, 555, 696 is 3.

Therefore, GCD of numbers 189, 378, 555, 696 is 3

Given Input Data is 189, 378, 555, 696

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

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 555 is 3 x 5 x 37

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(189, 378) = 378

GCD(189, 378) = ( 189 x 378 ) / 378

GCD(189, 378) = 71442 / 378

GCD(189, 378) = 189

Step2:

Here we consider the GCD from the above i.e. 189 as first number and the next as 555

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

LCM(189, 555) = 34965

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

GCD(189, 555) = 104895 / 34965

GCD(189, 555) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 696

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

LCM(3, 696) = 696

GCD(3, 696) = ( 3 x 696 ) / 696

GCD(3, 696) = 2088 / 696

GCD(3, 696) = 3

GCD of 189, 378, 555, 696 is 3

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1. What is the GCD of 189, 378, 555, 696?

GCD of 189, 378, 555, 696 is 3

2. Where do I get the detailed procedure to find GCD of 189, 378, 555, 696?

You can find a detailed procedure to find GCD of 189, 378, 555, 696 on our page.

3. How to find GCD of 189, 378, 555, 696 on a calculator?

You can find the GCD of 189, 378, 555, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.