GCD of 420, 459, 815, 651 Calculator

Given Input numbers are 420, 459, 815, 651

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 459

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

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

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Greatest Common Divisior

We found the divisors of 420, 459, 815, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 459, 815, 651 is 1.

Therefore, GCD of numbers 420, 459, 815, 651 is 1

Given Input Data is 420, 459, 815, 651

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 459 is 3 x 3 x 3 x 17

Prime Factorization of 815 is 5 x 163

Prime Factorization of 651 is 3 x 7 x 31

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, 459) = 64260

GCD(420, 459) = ( 420 x 459 ) / 64260

GCD(420, 459) = 192780 / 64260

GCD(420, 459) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 815

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

LCM(3, 815) = 2445

GCD(3, 815) = ( 3 x 815 ) / 2445

GCD(3, 815) = 2445 / 2445

GCD(3, 815) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 651

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

LCM(1, 651) = 651

GCD(1, 651) = ( 1 x 651 ) / 651

GCD(1, 651) = 651 / 651

GCD(1, 651) = 1

GCD of 420, 459, 815, 651 is 1

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1. What is the GCD of 420, 459, 815, 651?

GCD of 420, 459, 815, 651 is 1

2. Where do I get the detailed procedure to find GCD of 420, 459, 815, 651?

You can find a detailed procedure to find GCD of 420, 459, 815, 651 on our page.

3. How to find GCD of 420, 459, 815, 651 on a calculator?

You can find the GCD of 420, 459, 815, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.