GCD of 23, 974, 600, 996 Calculator

Given Input numbers are 23, 974, 600, 996

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 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 23, 974, 600, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 974, 600, 996 is 1.

Therefore, GCD of numbers 23, 974, 600, 996 is 1

Given Input Data is 23, 974, 600, 996

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

Prime Factorization of 23 is 23

Prime Factorization of 974 is 2 x 487

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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(23, 974) = 22402

GCD(23, 974) = ( 23 x 974 ) / 22402

GCD(23, 974) = 22402 / 22402

GCD(23, 974) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 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 23, 974, 600, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 818, 147, 908
• GCD of 51, 255, 557, 631
• GCD of 37, 689, 813, 650
• GCD of 21, 873, 610, 252
• GCD of 31, 811, 464, 372

1. What is the GCD of 23, 974, 600, 996?

GCD of 23, 974, 600, 996 is 1

2. Where do I get the detailed procedure to find GCD of 23, 974, 600, 996?

You can find a detailed procedure to find GCD of 23, 974, 600, 996 on our page.

3. How to find GCD of 23, 974, 600, 996 on a calculator?

You can find the GCD of 23, 974, 600, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.