GCD of 822, 423, 24, 964 Calculator

Given Input numbers are 822, 423, 24, 964

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 822, 423, 24, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 423, 24, 964 is 1.

Therefore, GCD of numbers 822, 423, 24, 964 is 1

Given Input Data is 822, 423, 24, 964

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 423 is 3 x 3 x 47

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 964 is 2 x 2 x 241

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, 423) = 115902

GCD(822, 423) = ( 822 x 423 ) / 115902

GCD(822, 423) = 347706 / 115902

GCD(822, 423) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 24

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

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

GCD(3, 24) = 72 / 24

GCD(3, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 964

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

LCM(3, 964) = 2892

GCD(3, 964) = ( 3 x 964 ) / 2892

GCD(3, 964) = 2892 / 2892

GCD(3, 964) = 1

GCD of 822, 423, 24, 964 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 414, 41, 606
• GCD of 854, 692, 14, 612
• GCD of 458, 717, 34, 347
• GCD of 196, 144, 50, 269
• GCD of 743, 746, 12, 616

1. What is the GCD of 822, 423, 24, 964?

GCD of 822, 423, 24, 964 is 1

2. Where do I get the detailed procedure to find GCD of 822, 423, 24, 964?

You can find a detailed procedure to find GCD of 822, 423, 24, 964 on our page.

3. How to find GCD of 822, 423, 24, 964 on a calculator?

You can find the GCD of 822, 423, 24, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.