GCD of 405, 987, 167, 629 Calculator

Given Input numbers are 405, 987, 167, 629

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

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 167

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

1, 167

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 405, 987, 167, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 987, 167, 629 is 1.

Therefore, GCD of numbers 405, 987, 167, 629 is 1

Given Input Data is 405, 987, 167, 629

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

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 167 is 167

Prime Factorization of 629 is 17 x 37

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(405, 987) = 133245

GCD(405, 987) = ( 405 x 987 ) / 133245

GCD(405, 987) = 399735 / 133245

GCD(405, 987) = 3

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 629

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

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

GCD(1, 629) = 629 / 629

GCD(1, 629) = 1

GCD of 405, 987, 167, 629 is 1

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1. What is the GCD of 405, 987, 167, 629?

GCD of 405, 987, 167, 629 is 1

2. Where do I get the detailed procedure to find GCD of 405, 987, 167, 629?

You can find a detailed procedure to find GCD of 405, 987, 167, 629 on our page.

3. How to find GCD of 405, 987, 167, 629 on a calculator?

You can find the GCD of 405, 987, 167, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.