GCD of 210, 452, 629, 309 Calculator

Given Input numbers are 210, 452, 629, 309

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 452

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

1, 2, 4, 113, 226, 452

Divisors of 629

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

1, 17, 37, 629

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 210, 452, 629, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 452, 629, 309 is 1.

Therefore, GCD of numbers 210, 452, 629, 309 is 1

Given Input Data is 210, 452, 629, 309

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 629 is 17 x 37

Prime Factorization of 309 is 3 x 103

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(210, 452) = 47460

GCD(210, 452) = ( 210 x 452 ) / 47460

GCD(210, 452) = 94920 / 47460

GCD(210, 452) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 210, 452, 629, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 459, 431, 525
• GCD of 289, 767, 642, 134
• GCD of 922, 966, 772, 989
• GCD of 272, 230, 142, 904
• GCD of 238, 881, 863, 985

1. What is the GCD of 210, 452, 629, 309?

GCD of 210, 452, 629, 309 is 1

2. Where do I get the detailed procedure to find GCD of 210, 452, 629, 309?

You can find a detailed procedure to find GCD of 210, 452, 629, 309 on our page.

3. How to find GCD of 210, 452, 629, 309 on a calculator?

You can find the GCD of 210, 452, 629, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.