GCD of 822, 824, 540, 963 Calculator

Given Input numbers are 822, 824, 540, 963

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

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 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 822, 824, 540, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 824, 540, 963 is 1.

Therefore, GCD of numbers 822, 824, 540, 963 is 1

Given Input Data is 822, 824, 540, 963

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 963 is 3 x 3 x 107

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(822, 824) = 338664

GCD(822, 824) = ( 822 x 824 ) / 338664

GCD(822, 824) = 677328 / 338664

GCD(822, 824) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 540

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

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

GCD(2, 540) = 1080 / 540

GCD(2, 540) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 963

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

LCM(2, 963) = 1926

GCD(2, 963) = ( 2 x 963 ) / 1926

GCD(2, 963) = 1926 / 1926

GCD(2, 963) = 1

GCD of 822, 824, 540, 963 is 1

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1. What is the GCD of 822, 824, 540, 963?

GCD of 822, 824, 540, 963 is 1

2. Where do I get the detailed procedure to find GCD of 822, 824, 540, 963?

You can find a detailed procedure to find GCD of 822, 824, 540, 963 on our page.

3. How to find GCD of 822, 824, 540, 963 on a calculator?

You can find the GCD of 822, 824, 540, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.