GCD of 90, 890, 420, 819 Calculator

Given Input numbers are 90, 890, 420, 819

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

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 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 90, 890, 420, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 890, 420, 819 is 1.

Therefore, GCD of numbers 90, 890, 420, 819 is 1

Given Input Data is 90, 890, 420, 819

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 890 is 2 x 5 x 89

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

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(90, 890) = 8010

GCD(90, 890) = ( 90 x 890 ) / 8010

GCD(90, 890) = 80100 / 8010

GCD(90, 890) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 420

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

LCM(10, 420) = 420

GCD(10, 420) = ( 10 x 420 ) / 420

GCD(10, 420) = 4200 / 420

GCD(10, 420) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 819

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

LCM(10, 819) = 8190

GCD(10, 819) = ( 10 x 819 ) / 8190

GCD(10, 819) = 8190 / 8190

GCD(10, 819) = 1

GCD of 90, 890, 420, 819 is 1

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1. What is the GCD of 90, 890, 420, 819?

GCD of 90, 890, 420, 819 is 1

2. Where do I get the detailed procedure to find GCD of 90, 890, 420, 819?

You can find a detailed procedure to find GCD of 90, 890, 420, 819 on our page.

3. How to find GCD of 90, 890, 420, 819 on a calculator?

You can find the GCD of 90, 890, 420, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.