GCD of 174, 396, 907, 639 Calculator

Given Input numbers are 174, 396, 907, 639

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

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 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Greatest Common Divisior

We found the divisors of 174, 396, 907, 639 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 396, 907, 639 is 1.

Therefore, GCD of numbers 174, 396, 907, 639 is 1

Given Input Data is 174, 396, 907, 639

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 907 is 907

Prime Factorization of 639 is 3 x 3 x 71

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(174, 396) = 11484

GCD(174, 396) = ( 174 x 396 ) / 11484

GCD(174, 396) = 68904 / 11484

GCD(174, 396) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 907

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

LCM(6, 907) = 5442

GCD(6, 907) = ( 6 x 907 ) / 5442

GCD(6, 907) = 5442 / 5442

GCD(6, 907) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 639

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

LCM(1, 639) = 639

GCD(1, 639) = ( 1 x 639 ) / 639

GCD(1, 639) = 639 / 639

GCD(1, 639) = 1

GCD of 174, 396, 907, 639 is 1

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1. What is the GCD of 174, 396, 907, 639?

GCD of 174, 396, 907, 639 is 1

2. Where do I get the detailed procedure to find GCD of 174, 396, 907, 639?

You can find a detailed procedure to find GCD of 174, 396, 907, 639 on our page.

3. How to find GCD of 174, 396, 907, 639 on a calculator?

You can find the GCD of 174, 396, 907, 639 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.