GCD of 180, 189, 663, 695 Calculator

Given Input numbers are 180, 189, 663, 695

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 180, 189, 663, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 189, 663, 695 is 1.

Therefore, GCD of numbers 180, 189, 663, 695 is 1

Given Input Data is 180, 189, 663, 695

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 695 is 5 x 139

The above numbers do not have any common prime factor. So GCD is 1

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(180, 189) = 3780

GCD(180, 189) = ( 180 x 189 ) / 3780

GCD(180, 189) = 34020 / 3780

GCD(180, 189) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 663

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

LCM(9, 663) = 1989

GCD(9, 663) = ( 9 x 663 ) / 1989

GCD(9, 663) = 5967 / 1989

GCD(9, 663) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 695

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

LCM(3, 695) = 2085

GCD(3, 695) = ( 3 x 695 ) / 2085

GCD(3, 695) = 2085 / 2085

GCD(3, 695) = 1

GCD of 180, 189, 663, 695 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 187, 710, 286
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• GCD of 150, 938, 502, 973

1. What is the GCD of 180, 189, 663, 695?

GCD of 180, 189, 663, 695 is 1

2. Where do I get the detailed procedure to find GCD of 180, 189, 663, 695?

You can find a detailed procedure to find GCD of 180, 189, 663, 695 on our page.

3. How to find GCD of 180, 189, 663, 695 on a calculator?

You can find the GCD of 180, 189, 663, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.