GCD of 106, 629, 24, 452 Calculator

Given Input numbers are 106, 629, 24, 452

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 629

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

1, 17, 37, 629

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Greatest Common Divisior

We found the divisors of 106, 629, 24, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 629, 24, 452 is 1.

Therefore, GCD of numbers 106, 629, 24, 452 is 1

Given Input Data is 106, 629, 24, 452

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 629 is 17 x 37

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 452 is 2 x 2 x 113

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(106, 629) = 66674

GCD(106, 629) = ( 106 x 629 ) / 66674

GCD(106, 629) = 66674 / 66674

GCD(106, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 452

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

LCM(1, 452) = 452

GCD(1, 452) = ( 1 x 452 ) / 452

GCD(1, 452) = 452 / 452

GCD(1, 452) = 1

GCD of 106, 629, 24, 452 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 888, 84, 411
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• GCD of 624, 601, 65, 725
• GCD of 672, 105, 43, 953

1. What is the GCD of 106, 629, 24, 452?

GCD of 106, 629, 24, 452 is 1

2. Where do I get the detailed procedure to find GCD of 106, 629, 24, 452?

You can find a detailed procedure to find GCD of 106, 629, 24, 452 on our page.

3. How to find GCD of 106, 629, 24, 452 on a calculator?

You can find the GCD of 106, 629, 24, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.