GCD of 426, 609, 84, 920 Calculator

Given Input numbers are 426, 609, 84, 920

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 426, 609, 84, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 609, 84, 920 is 1.

Therefore, GCD of numbers 426, 609, 84, 920 is 1

Given Input Data is 426, 609, 84, 920

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(426, 609) = 86478

GCD(426, 609) = ( 426 x 609 ) / 86478

GCD(426, 609) = 259434 / 86478

GCD(426, 609) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 84

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

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

GCD(3, 84) = 252 / 84

GCD(3, 84) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 920

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

LCM(3, 920) = 2760

GCD(3, 920) = ( 3 x 920 ) / 2760

GCD(3, 920) = 2760 / 2760

GCD(3, 920) = 1

GCD of 426, 609, 84, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 891, 695, 46, 299
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• GCD of 467, 924, 98, 953

1. What is the GCD of 426, 609, 84, 920?

GCD of 426, 609, 84, 920 is 1

2. Where do I get the detailed procedure to find GCD of 426, 609, 84, 920?

You can find a detailed procedure to find GCD of 426, 609, 84, 920 on our page.

3. How to find GCD of 426, 609, 84, 920 on a calculator?

You can find the GCD of 426, 609, 84, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.