GCD of 219, 918, 472, 602 Calculator

Given Input numbers are 219, 918, 472, 602

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

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

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 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Greatest Common Divisior

We found the divisors of 219, 918, 472, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 918, 472, 602 is 1.

Therefore, GCD of numbers 219, 918, 472, 602 is 1

Given Input Data is 219, 918, 472, 602

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

Prime Factorization of 219 is 3 x 73

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 602 is 2 x 7 x 43

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(219, 918) = 67014

GCD(219, 918) = ( 219 x 918 ) / 67014

GCD(219, 918) = 201042 / 67014

GCD(219, 918) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 472

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

LCM(3, 472) = 1416

GCD(3, 472) = ( 3 x 472 ) / 1416

GCD(3, 472) = 1416 / 1416

GCD(3, 472) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 602

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

LCM(1, 602) = 602

GCD(1, 602) = ( 1 x 602 ) / 602

GCD(1, 602) = 602 / 602

GCD(1, 602) = 1

GCD of 219, 918, 472, 602 is 1

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1. What is the GCD of 219, 918, 472, 602?

GCD of 219, 918, 472, 602 is 1

2. Where do I get the detailed procedure to find GCD of 219, 918, 472, 602?

You can find a detailed procedure to find GCD of 219, 918, 472, 602 on our page.

3. How to find GCD of 219, 918, 472, 602 on a calculator?

You can find the GCD of 219, 918, 472, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.