GCD of 261, 630, 209, 408 Calculator

Given Input numbers are 261, 630, 209, 408

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 209

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

1, 11, 19, 209

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 261, 630, 209, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 630, 209, 408 is 1.

Therefore, GCD of numbers 261, 630, 209, 408 is 1

Given Input Data is 261, 630, 209, 408

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 209 is 11 x 19

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(261, 630) = 18270

GCD(261, 630) = ( 261 x 630 ) / 18270

GCD(261, 630) = 164430 / 18270

GCD(261, 630) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 209

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

LCM(9, 209) = 1881

GCD(9, 209) = ( 9 x 209 ) / 1881

GCD(9, 209) = 1881 / 1881

GCD(9, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 261, 630, 209, 408 is 1

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1. What is the GCD of 261, 630, 209, 408?

GCD of 261, 630, 209, 408 is 1

2. Where do I get the detailed procedure to find GCD of 261, 630, 209, 408?

You can find a detailed procedure to find GCD of 261, 630, 209, 408 on our page.

3. How to find GCD of 261, 630, 209, 408 on a calculator?

You can find the GCD of 261, 630, 209, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.