GCD of 420, 209, 859, 459 Calculator

Given Input numbers are 420, 209, 859, 459

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 209

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

1, 11, 19, 209

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 420, 209, 859, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 209, 859, 459 is 1.

Therefore, GCD of numbers 420, 209, 859, 459 is 1

Given Input Data is 420, 209, 859, 459

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 209 is 11 x 19

Prime Factorization of 859 is 859

Prime Factorization of 459 is 3 x 3 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(420, 209) = 87780

GCD(420, 209) = ( 420 x 209 ) / 87780

GCD(420, 209) = 87780 / 87780

GCD(420, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 859

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

LCM(1, 859) = 859

GCD(1, 859) = ( 1 x 859 ) / 859

GCD(1, 859) = 859 / 859

GCD(1, 859) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 420, 209, 859, 459 is 1

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1. What is the GCD of 420, 209, 859, 459?

GCD of 420, 209, 859, 459 is 1

2. Where do I get the detailed procedure to find GCD of 420, 209, 859, 459?

You can find a detailed procedure to find GCD of 420, 209, 859, 459 on our page.

3. How to find GCD of 420, 209, 859, 459 on a calculator?

You can find the GCD of 420, 209, 859, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.