GCD of 187, 660, 359, 252 Calculator

Given Input numbers are 187, 660, 359, 252

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

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 187, 660, 359, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 660, 359, 252 is 1.

Therefore, GCD of numbers 187, 660, 359, 252 is 1

Given Input Data is 187, 660, 359, 252

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

Prime Factorization of 187 is 11 x 17

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 359 is 359

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

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(187, 660) = 11220

GCD(187, 660) = ( 187 x 660 ) / 11220

GCD(187, 660) = 123420 / 11220

GCD(187, 660) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 359

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

LCM(11, 359) = 3949

GCD(11, 359) = ( 11 x 359 ) / 3949

GCD(11, 359) = 3949 / 3949

GCD(11, 359) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

GCD of 187, 660, 359, 252 is 1

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1. What is the GCD of 187, 660, 359, 252?

GCD of 187, 660, 359, 252 is 1

2. Where do I get the detailed procedure to find GCD of 187, 660, 359, 252?

You can find a detailed procedure to find GCD of 187, 660, 359, 252 on our page.

3. How to find GCD of 187, 660, 359, 252 on a calculator?

You can find the GCD of 187, 660, 359, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.