GCD of 396, 102, 346, 629 Calculator

Given Input numbers are 396, 102, 346, 629

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

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 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

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 396, 102, 346, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 102, 346, 629 is 1.

Therefore, GCD of numbers 396, 102, 346, 629 is 1

Given Input Data is 396, 102, 346, 629

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

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 346 is 2 x 173

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(396, 102) = 6732

GCD(396, 102) = ( 396 x 102 ) / 6732

GCD(396, 102) = 40392 / 6732

GCD(396, 102) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 346

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

LCM(6, 346) = 1038

GCD(6, 346) = ( 6 x 346 ) / 1038

GCD(6, 346) = 2076 / 1038

GCD(6, 346) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 629

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

LCM(2, 629) = 1258

GCD(2, 629) = ( 2 x 629 ) / 1258

GCD(2, 629) = 1258 / 1258

GCD(2, 629) = 1

GCD of 396, 102, 346, 629 is 1

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1. What is the GCD of 396, 102, 346, 629?

GCD of 396, 102, 346, 629 is 1

2. Where do I get the detailed procedure to find GCD of 396, 102, 346, 629?

You can find a detailed procedure to find GCD of 396, 102, 346, 629 on our page.

3. How to find GCD of 396, 102, 346, 629 on a calculator?

You can find the GCD of 396, 102, 346, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.