GCD of 187, 135, 768, 369 Calculator

Given Input numbers are 187, 135, 768, 369

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 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 187, 135, 768, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 135, 768, 369 is 1.

Therefore, GCD of numbers 187, 135, 768, 369 is 1

Given Input Data is 187, 135, 768, 369

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

Prime Factorization of 187 is 11 x 17

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 369 is 3 x 3 x 41

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, 135) = 25245

GCD(187, 135) = ( 187 x 135 ) / 25245

GCD(187, 135) = 25245 / 25245

GCD(187, 135) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 187, 135, 768, 369 is 1

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1. What is the GCD of 187, 135, 768, 369?

GCD of 187, 135, 768, 369 is 1

2. Where do I get the detailed procedure to find GCD of 187, 135, 768, 369?

You can find a detailed procedure to find GCD of 187, 135, 768, 369 on our page.

3. How to find GCD of 187, 135, 768, 369 on a calculator?

You can find the GCD of 187, 135, 768, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.