GCD of 218, 604, 158, 109 Calculator

Given Input numbers are 218, 604, 158, 109

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 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 218, 604, 158, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 604, 158, 109 is 1.

Therefore, GCD of numbers 218, 604, 158, 109 is 1

Given Input Data is 218, 604, 158, 109

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 158 is 2 x 79

Prime Factorization of 109 is 109

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, 604) = 65836

GCD(218, 604) = ( 218 x 604 ) / 65836

GCD(218, 604) = 131672 / 65836

GCD(218, 604) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 158

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

LCM(2, 158) = 158

GCD(2, 158) = ( 2 x 158 ) / 158

GCD(2, 158) = 316 / 158

GCD(2, 158) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 109

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

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

GCD(2, 109) = 218 / 218

GCD(2, 109) = 1

GCD of 218, 604, 158, 109 is 1

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1. What is the GCD of 218, 604, 158, 109?

GCD of 218, 604, 158, 109 is 1

2. Where do I get the detailed procedure to find GCD of 218, 604, 158, 109?

You can find a detailed procedure to find GCD of 218, 604, 158, 109 on our page.

3. How to find GCD of 218, 604, 158, 109 on a calculator?

You can find the GCD of 218, 604, 158, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.