GCD of 421, 600, 990, 823 Calculator

Given Input numbers are 421, 600, 990, 823

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 421, 600, 990, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 600, 990, 823 is 1.

Therefore, GCD of numbers 421, 600, 990, 823 is 1

Given Input Data is 421, 600, 990, 823

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

Prime Factorization of 421 is 421

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 823 is 823

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(421, 600) = 252600

GCD(421, 600) = ( 421 x 600 ) / 252600

GCD(421, 600) = 252600 / 252600

GCD(421, 600) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 421, 600, 990, 823 is 1

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1. What is the GCD of 421, 600, 990, 823?

GCD of 421, 600, 990, 823 is 1

2. Where do I get the detailed procedure to find GCD of 421, 600, 990, 823?

You can find a detailed procedure to find GCD of 421, 600, 990, 823 on our page.

3. How to find GCD of 421, 600, 990, 823 on a calculator?

You can find the GCD of 421, 600, 990, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.