GCD of 627, 174, 36, 167 Calculator

Given Input numbers are 627, 174, 36, 167

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

Divisors of 627

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

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Greatest Common Divisior

We found the divisors of 627, 174, 36, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 174, 36, 167 is 1.

Therefore, GCD of numbers 627, 174, 36, 167 is 1

Given Input Data is 627, 174, 36, 167

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

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 167 is 167

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(627, 174) = 36366

GCD(627, 174) = ( 627 x 174 ) / 36366

GCD(627, 174) = 109098 / 36366

GCD(627, 174) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 167

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

LCM(3, 167) = 501

GCD(3, 167) = ( 3 x 167 ) / 501

GCD(3, 167) = 501 / 501

GCD(3, 167) = 1

GCD of 627, 174, 36, 167 is 1

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1. What is the GCD of 627, 174, 36, 167?

GCD of 627, 174, 36, 167 is 1

2. Where do I get the detailed procedure to find GCD of 627, 174, 36, 167?

You can find a detailed procedure to find GCD of 627, 174, 36, 167 on our page.

3. How to find GCD of 627, 174, 36, 167 on a calculator?

You can find the GCD of 627, 174, 36, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.