GCD of 18, 564, 737, 992 Calculator

Given Input numbers are 18, 564, 737, 992

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

Divisors of 18

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

1, 2, 3, 6, 9, 18

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 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

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 18, 564, 737, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 564, 737, 992 is 1.

Therefore, GCD of numbers 18, 564, 737, 992 is 1

Given Input Data is 18, 564, 737, 992

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

Prime Factorization of 18 is 2 x 3 x 3

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

Prime Factorization of 737 is 11 x 67

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(18, 564) = 1692

GCD(18, 564) = ( 18 x 564 ) / 1692

GCD(18, 564) = 10152 / 1692

GCD(18, 564) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 737

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

LCM(6, 737) = 4422

GCD(6, 737) = ( 6 x 737 ) / 4422

GCD(6, 737) = 4422 / 4422

GCD(6, 737) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 18, 564, 737, 992 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 766, 410, 598
• GCD of 74, 221, 385, 952
• GCD of 63, 813, 395, 838
• GCD of 85, 771, 893, 429
• GCD of 51, 720, 464, 583

1. What is the GCD of 18, 564, 737, 992?

GCD of 18, 564, 737, 992 is 1

2. Where do I get the detailed procedure to find GCD of 18, 564, 737, 992?

You can find a detailed procedure to find GCD of 18, 564, 737, 992 on our page.

3. How to find GCD of 18, 564, 737, 992 on a calculator?

You can find the GCD of 18, 564, 737, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.