GCD of 422, 689, 60, 819 Calculator

Given Input numbers are 422, 689, 60, 819

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

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 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Greatest Common Divisior

We found the divisors of 422, 689, 60, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 689, 60, 819 is 1.

Therefore, GCD of numbers 422, 689, 60, 819 is 1

Given Input Data is 422, 689, 60, 819

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 689 is 13 x 53

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

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(422, 689) = 290758

GCD(422, 689) = ( 422 x 689 ) / 290758

GCD(422, 689) = 290758 / 290758

GCD(422, 689) = 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 819

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

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

GCD(1, 819) = 819 / 819

GCD(1, 819) = 1

GCD of 422, 689, 60, 819 is 1

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1. What is the GCD of 422, 689, 60, 819?

GCD of 422, 689, 60, 819 is 1

2. Where do I get the detailed procedure to find GCD of 422, 689, 60, 819?

You can find a detailed procedure to find GCD of 422, 689, 60, 819 on our page.

3. How to find GCD of 422, 689, 60, 819 on a calculator?

You can find the GCD of 422, 689, 60, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.