GCD of 827, 563, 822, 996 Calculator

Given Input numbers are 827, 563, 822, 996

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 827, 563, 822, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 563, 822, 996 is 1.

Therefore, GCD of numbers 827, 563, 822, 996 is 1

Given Input Data is 827, 563, 822, 996

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

Prime Factorization of 827 is 827

Prime Factorization of 563 is 563

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(827, 563) = 465601

GCD(827, 563) = ( 827 x 563 ) / 465601

GCD(827, 563) = 465601 / 465601

GCD(827, 563) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 827, 563, 822, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 255, 282, 970
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• GCD of 693, 450, 366, 597
• GCD of 293, 998, 465, 805

1. What is the GCD of 827, 563, 822, 996?

GCD of 827, 563, 822, 996 is 1

2. Where do I get the detailed procedure to find GCD of 827, 563, 822, 996?

You can find a detailed procedure to find GCD of 827, 563, 822, 996 on our page.

3. How to find GCD of 827, 563, 822, 996 on a calculator?

You can find the GCD of 827, 563, 822, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.