GCD of 23, 474, 756, 984 Calculator

Given Input numbers are 23, 474, 756, 984

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 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

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 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 23, 474, 756, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 474, 756, 984 is 1.

Therefore, GCD of numbers 23, 474, 756, 984 is 1

Given Input Data is 23, 474, 756, 984

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

Prime Factorization of 23 is 23

Prime Factorization of 474 is 2 x 3 x 79

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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, 474) = 10902

GCD(23, 474) = ( 23 x 474 ) / 10902

GCD(23, 474) = 10902 / 10902

GCD(23, 474) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 23, 474, 756, 984 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 742, 256, 844
• GCD of 22, 448, 867, 195
• GCD of 81, 708, 711, 785
• GCD of 85, 311, 549, 781
• GCD of 93, 707, 361, 418

1. What is the GCD of 23, 474, 756, 984?

GCD of 23, 474, 756, 984 is 1

2. Where do I get the detailed procedure to find GCD of 23, 474, 756, 984?

You can find a detailed procedure to find GCD of 23, 474, 756, 984 on our page.

3. How to find GCD of 23, 474, 756, 984 on a calculator?

You can find the GCD of 23, 474, 756, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.