GCD of 821, 472, 891, 600 Calculator

Given Input numbers are 821, 472, 891, 600

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

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

Greatest Common Divisior

We found the divisors of 821, 472, 891, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 472, 891, 600 is 1.

Therefore, GCD of numbers 821, 472, 891, 600 is 1

Given Input Data is 821, 472, 891, 600

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

Prime Factorization of 821 is 821

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

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

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(821, 472) = 387512

GCD(821, 472) = ( 821 x 472 ) / 387512

GCD(821, 472) = 387512 / 387512

GCD(821, 472) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 891

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

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

GCD(1, 891) = 891 / 891

GCD(1, 891) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 821, 472, 891, 600 is 1

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1. What is the GCD of 821, 472, 891, 600?

GCD of 821, 472, 891, 600 is 1

2. Where do I get the detailed procedure to find GCD of 821, 472, 891, 600?

You can find a detailed procedure to find GCD of 821, 472, 891, 600 on our page.

3. How to find GCD of 821, 472, 891, 600 on a calculator?

You can find the GCD of 821, 472, 891, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.