GCD of 23, 596, 752, 956 Calculator

Given Input numbers are 23, 596, 752, 956

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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 23, 596, 752, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 596, 752, 956 is 1.

Therefore, GCD of numbers 23, 596, 752, 956 is 1

Given Input Data is 23, 596, 752, 956

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

Prime Factorization of 23 is 23

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(23, 596) = 13708

GCD(23, 596) = ( 23 x 596 ) / 13708

GCD(23, 596) = 13708 / 13708

GCD(23, 596) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 23, 596, 752, 956 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 627, 411, 641
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• GCD of 80, 911, 696, 831
• GCD of 73, 147, 535, 312

1. What is the GCD of 23, 596, 752, 956?

GCD of 23, 596, 752, 956 is 1

2. Where do I get the detailed procedure to find GCD of 23, 596, 752, 956?

You can find a detailed procedure to find GCD of 23, 596, 752, 956 on our page.

3. How to find GCD of 23, 596, 752, 956 on a calculator?

You can find the GCD of 23, 596, 752, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.