GCD of 218, 388, 53, 652 Calculator

Given Input numbers are 218, 388, 53, 652

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 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 218, 388, 53, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 388, 53, 652 is 1.

Therefore, GCD of numbers 218, 388, 53, 652 is 1

Given Input Data is 218, 388, 53, 652

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 53 is 53

Prime Factorization of 652 is 2 x 2 x 163

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, 388) = 42292

GCD(218, 388) = ( 218 x 388 ) / 42292

GCD(218, 388) = 84584 / 42292

GCD(218, 388) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 652

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

LCM(1, 652) = 652

GCD(1, 652) = ( 1 x 652 ) / 652

GCD(1, 652) = 652 / 652

GCD(1, 652) = 1

GCD of 218, 388, 53, 652 is 1

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1. What is the GCD of 218, 388, 53, 652?

GCD of 218, 388, 53, 652 is 1

2. Where do I get the detailed procedure to find GCD of 218, 388, 53, 652?

You can find a detailed procedure to find GCD of 218, 388, 53, 652 on our page.

3. How to find GCD of 218, 388, 53, 652 on a calculator?

You can find the GCD of 218, 388, 53, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.