GCD of 218, 855, 65, 252 Calculator

Given Input numbers are 218, 855, 65, 252

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

Divisors of 218

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

1, 2, 109, 218

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

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 218, 855, 65, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 855, 65, 252 is 1.

Therefore, GCD of numbers 218, 855, 65, 252 is 1

Given Input Data is 218, 855, 65, 252

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 65 is 5 x 13

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(218, 855) = 186390

GCD(218, 855) = ( 218 x 855 ) / 186390

GCD(218, 855) = 186390 / 186390

GCD(218, 855) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 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 218, 855, 65, 252 is 1

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1. What is the GCD of 218, 855, 65, 252?

GCD of 218, 855, 65, 252 is 1

2. Where do I get the detailed procedure to find GCD of 218, 855, 65, 252?

You can find a detailed procedure to find GCD of 218, 855, 65, 252 on our page.

3. How to find GCD of 218, 855, 65, 252 on a calculator?

You can find the GCD of 218, 855, 65, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.