GCD of 187, 918, 119, 660 Calculator

Given Input numbers are 187, 918, 119, 660

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 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

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

Greatest Common Divisior

We found the divisors of 187, 918, 119, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 918, 119, 660 is 1.

Therefore, GCD of numbers 187, 918, 119, 660 is 1

Given Input Data is 187, 918, 119, 660

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

Prime Factorization of 187 is 11 x 17

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 119 is 7 x 17

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

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, 918) = 10098

GCD(187, 918) = ( 187 x 918 ) / 10098

GCD(187, 918) = 171666 / 10098

GCD(187, 918) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 119

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

LCM(17, 119) = 119

GCD(17, 119) = ( 17 x 119 ) / 119

GCD(17, 119) = 2023 / 119

GCD(17, 119) = 17

Step3:

Here we consider the GCD from the above i.e. 17 as first number and the next as 660

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

LCM(17, 660) = 11220

GCD(17, 660) = ( 17 x 660 ) / 11220

GCD(17, 660) = 11220 / 11220

GCD(17, 660) = 1

GCD of 187, 918, 119, 660 is 1

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1. What is the GCD of 187, 918, 119, 660?

GCD of 187, 918, 119, 660 is 1

2. Where do I get the detailed procedure to find GCD of 187, 918, 119, 660?

You can find a detailed procedure to find GCD of 187, 918, 119, 660 on our page.

3. How to find GCD of 187, 918, 119, 660 on a calculator?

You can find the GCD of 187, 918, 119, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.