GCD of 567, 368, 218, 165 Calculator

Given Input numbers are 567, 368, 218, 165

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

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 567, 368, 218, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 368, 218, 165 is 1.

Therefore, GCD of numbers 567, 368, 218, 165 is 1

Given Input Data is 567, 368, 218, 165

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

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 218 is 2 x 109

Prime Factorization of 165 is 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(567, 368) = 208656

GCD(567, 368) = ( 567 x 368 ) / 208656

GCD(567, 368) = 208656 / 208656

GCD(567, 368) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 567, 368, 218, 165 is 1

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1. What is the GCD of 567, 368, 218, 165?

GCD of 567, 368, 218, 165 is 1

2. Where do I get the detailed procedure to find GCD of 567, 368, 218, 165?

You can find a detailed procedure to find GCD of 567, 368, 218, 165 on our page.

3. How to find GCD of 567, 368, 218, 165 on a calculator?

You can find the GCD of 567, 368, 218, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.