GCD of 731, 657, 18, 564 Calculator

Given Input numbers are 731, 657, 18, 564

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

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

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

Greatest Common Divisior

We found the divisors of 731, 657, 18, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 657, 18, 564 is 1.

Therefore, GCD of numbers 731, 657, 18, 564 is 1

Given Input Data is 731, 657, 18, 564

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 18 is 2 x 3 x 3

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

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(731, 657) = 480267

GCD(731, 657) = ( 731 x 657 ) / 480267

GCD(731, 657) = 480267 / 480267

GCD(731, 657) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 731, 657, 18, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 841, 893, 11, 437
• GCD of 129, 637, 99, 516
• GCD of 353, 568, 64, 103
• GCD of 557, 850, 18, 651
• GCD of 159, 952, 19, 582

1. What is the GCD of 731, 657, 18, 564?

GCD of 731, 657, 18, 564 is 1

2. Where do I get the detailed procedure to find GCD of 731, 657, 18, 564?

You can find a detailed procedure to find GCD of 731, 657, 18, 564 on our page.

3. How to find GCD of 731, 657, 18, 564 on a calculator?

You can find the GCD of 731, 657, 18, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.