GCD of 825, 564, 18, 992 Calculator

Given Input numbers are 825, 564, 18, 992

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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 825, 564, 18, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 564, 18, 992 is 1.

Therefore, GCD of numbers 825, 564, 18, 992 is 1

Given Input Data is 825, 564, 18, 992

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 18 is 2 x 3 x 3

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(825, 564) = 155100

GCD(825, 564) = ( 825 x 564 ) / 155100

GCD(825, 564) = 465300 / 155100

GCD(825, 564) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 18

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

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

GCD(3, 18) = 54 / 18

GCD(3, 18) = 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 825, 564, 18, 992 is 1

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1. What is the GCD of 825, 564, 18, 992?

GCD of 825, 564, 18, 992 is 1

2. Where do I get the detailed procedure to find GCD of 825, 564, 18, 992?

You can find a detailed procedure to find GCD of 825, 564, 18, 992 on our page.

3. How to find GCD of 825, 564, 18, 992 on a calculator?

You can find the GCD of 825, 564, 18, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.