GCD of 993, 756, 24, 956 Calculator

Given Input numbers are 993, 756, 24, 956

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 993, 756, 24, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 756, 24, 956 is 1.

Therefore, GCD of numbers 993, 756, 24, 956 is 1

Given Input Data is 993, 756, 24, 956

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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

Prime Factorization of 956 is 2 x 2 x 239

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(993, 756) = 250236

GCD(993, 756) = ( 993 x 756 ) / 250236

GCD(993, 756) = 750708 / 250236

GCD(993, 756) = 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 956

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

LCM(3, 956) = 2868

GCD(3, 956) = ( 3 x 956 ) / 2868

GCD(3, 956) = 2868 / 2868

GCD(3, 956) = 1

GCD of 993, 756, 24, 956 is 1

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1. What is the GCD of 993, 756, 24, 956?

GCD of 993, 756, 24, 956 is 1

2. Where do I get the detailed procedure to find GCD of 993, 756, 24, 956?

You can find a detailed procedure to find GCD of 993, 756, 24, 956 on our page.

3. How to find GCD of 993, 756, 24, 956 on a calculator?

You can find the GCD of 993, 756, 24, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.