GCD of 821, 496, 583, 921 Calculator

Given Input numbers are 821, 496, 583, 921

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 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 821, 496, 583, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 496, 583, 921 is 1.

Therefore, GCD of numbers 821, 496, 583, 921 is 1

Given Input Data is 821, 496, 583, 921

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

Prime Factorization of 821 is 821

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 583 is 11 x 53

Prime Factorization of 921 is 3 x 307

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, 496) = 407216

GCD(821, 496) = ( 821 x 496 ) / 407216

GCD(821, 496) = 407216 / 407216

GCD(821, 496) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 583

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

LCM(1, 583) = 583

GCD(1, 583) = ( 1 x 583 ) / 583

GCD(1, 583) = 583 / 583

GCD(1, 583) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 821, 496, 583, 921 is 1

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1. What is the GCD of 821, 496, 583, 921?

GCD of 821, 496, 583, 921 is 1

2. Where do I get the detailed procedure to find GCD of 821, 496, 583, 921?

You can find a detailed procedure to find GCD of 821, 496, 583, 921 on our page.

3. How to find GCD of 821, 496, 583, 921 on a calculator?

You can find the GCD of 821, 496, 583, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.