GCD of 209, 452, 60, 472 Calculator

Given Input numbers are 209, 452, 60, 472

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 452

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

1, 2, 4, 113, 226, 452

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 209, 452, 60, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 452, 60, 472 is 1.

Therefore, GCD of numbers 209, 452, 60, 472 is 1

Given Input Data is 209, 452, 60, 472

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(209, 452) = 94468

GCD(209, 452) = ( 209 x 452 ) / 94468

GCD(209, 452) = 94468 / 94468

GCD(209, 452) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 472

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

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

GCD(1, 472) = 472 / 472

GCD(1, 472) = 1

GCD of 209, 452, 60, 472 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 797, 807, 29, 636
• GCD of 701, 352, 46, 426
• GCD of 759, 477, 35, 920
• GCD of 702, 236, 62, 922
• GCD of 554, 513, 29, 342

1. What is the GCD of 209, 452, 60, 472?

GCD of 209, 452, 60, 472 is 1

2. Where do I get the detailed procedure to find GCD of 209, 452, 60, 472?

You can find a detailed procedure to find GCD of 209, 452, 60, 472 on our page.

3. How to find GCD of 209, 452, 60, 472 on a calculator?

You can find the GCD of 209, 452, 60, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.