GCD of 168, 629, 997, 966 Calculator

Given Input numbers are 168, 629, 997, 966

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 629

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

1, 17, 37, 629

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 168, 629, 997, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 629, 997, 966 is 1.

Therefore, GCD of numbers 168, 629, 997, 966 is 1

Given Input Data is 168, 629, 997, 966

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 629 is 17 x 37

Prime Factorization of 997 is 997

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(168, 629) = 105672

GCD(168, 629) = ( 168 x 629 ) / 105672

GCD(168, 629) = 105672 / 105672

GCD(168, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 168, 629, 997, 966 is 1

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1. What is the GCD of 168, 629, 997, 966?

GCD of 168, 629, 997, 966 is 1

2. Where do I get the detailed procedure to find GCD of 168, 629, 997, 966?

You can find a detailed procedure to find GCD of 168, 629, 997, 966 on our page.

3. How to find GCD of 168, 629, 997, 966 on a calculator?

You can find the GCD of 168, 629, 997, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.