GCD of 821, 905, 666, 998 Calculator

Given Input numbers are 821, 905, 666, 998

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 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 821, 905, 666, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 905, 666, 998 is 1.

Therefore, GCD of numbers 821, 905, 666, 998 is 1

Given Input Data is 821, 905, 666, 998

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

Prime Factorization of 821 is 821

Prime Factorization of 905 is 5 x 181

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 998 is 2 x 499

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, 905) = 743005

GCD(821, 905) = ( 821 x 905 ) / 743005

GCD(821, 905) = 743005 / 743005

GCD(821, 905) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 666

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

LCM(1, 666) = 666

GCD(1, 666) = ( 1 x 666 ) / 666

GCD(1, 666) = 666 / 666

GCD(1, 666) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 821, 905, 666, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 599, 407, 534, 430
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1. What is the GCD of 821, 905, 666, 998?

GCD of 821, 905, 666, 998 is 1

2. Where do I get the detailed procedure to find GCD of 821, 905, 666, 998?

You can find a detailed procedure to find GCD of 821, 905, 666, 998 on our page.

3. How to find GCD of 821, 905, 666, 998 on a calculator?

You can find the GCD of 821, 905, 666, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.