GCD of 384, 588, 453, 992 Calculator

Given Input numbers are 384, 588, 453, 992

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 384, 588, 453, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 588, 453, 992 is 1.

Therefore, GCD of numbers 384, 588, 453, 992 is 1

Given Input Data is 384, 588, 453, 992

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 453 is 3 x 151

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(384, 588) = 18816

GCD(384, 588) = ( 384 x 588 ) / 18816

GCD(384, 588) = 225792 / 18816

GCD(384, 588) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 453

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

LCM(12, 453) = 1812

GCD(12, 453) = ( 12 x 453 ) / 1812

GCD(12, 453) = 5436 / 1812

GCD(12, 453) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 992

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

LCM(3, 992) = 2976

GCD(3, 992) = ( 3 x 992 ) / 2976

GCD(3, 992) = 2976 / 2976

GCD(3, 992) = 1

GCD of 384, 588, 453, 992 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 614, 630, 980
• GCD of 462, 877, 763, 416
• GCD of 772, 967, 634, 156
• GCD of 237, 792, 276, 790
• GCD of 761, 587, 515, 617

1. What is the GCD of 384, 588, 453, 992?

GCD of 384, 588, 453, 992 is 1

2. Where do I get the detailed procedure to find GCD of 384, 588, 453, 992?

You can find a detailed procedure to find GCD of 384, 588, 453, 992 on our page.

3. How to find GCD of 384, 588, 453, 992 on a calculator?

You can find the GCD of 384, 588, 453, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.