GCD of 164, 249, 308, 627 Calculator

Given Input numbers are 164, 249, 308, 627

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Greatest Common Divisior

We found the divisors of 164, 249, 308, 627 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 249, 308, 627 is 1.

Therefore, GCD of numbers 164, 249, 308, 627 is 1

Given Input Data is 164, 249, 308, 627

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 249 is 3 x 83

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 627 is 3 x 11 x 19

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(164, 249) = 40836

GCD(164, 249) = ( 164 x 249 ) / 40836

GCD(164, 249) = 40836 / 40836

GCD(164, 249) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 627

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

LCM(1, 627) = 627

GCD(1, 627) = ( 1 x 627 ) / 627

GCD(1, 627) = 627 / 627

GCD(1, 627) = 1

GCD of 164, 249, 308, 627 is 1

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1. What is the GCD of 164, 249, 308, 627?

GCD of 164, 249, 308, 627 is 1

2. Where do I get the detailed procedure to find GCD of 164, 249, 308, 627?

You can find a detailed procedure to find GCD of 164, 249, 308, 627 on our page.

3. How to find GCD of 164, 249, 308, 627 on a calculator?

You can find the GCD of 164, 249, 308, 627 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.