GCD of 633, 918, 724, 663 Calculator

Given Input numbers are 633, 918, 724, 663

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

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 633, 918, 724, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 633, 918, 724, 663 is 1.

Therefore, GCD of numbers 633, 918, 724, 663 is 1

Given Input Data is 633, 918, 724, 663

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

Prime Factorization of 633 is 3 x 211

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 663 is 3 x 13 x 17

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(633, 918) = 193698

GCD(633, 918) = ( 633 x 918 ) / 193698

GCD(633, 918) = 581094 / 193698

GCD(633, 918) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 724

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

LCM(3, 724) = 2172

GCD(3, 724) = ( 3 x 724 ) / 2172

GCD(3, 724) = 2172 / 2172

GCD(3, 724) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

GCD of 633, 918, 724, 663 is 1

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1. What is the GCD of 633, 918, 724, 663?

GCD of 633, 918, 724, 663 is 1

2. Where do I get the detailed procedure to find GCD of 633, 918, 724, 663?

You can find a detailed procedure to find GCD of 633, 918, 724, 663 on our page.

3. How to find GCD of 633, 918, 724, 663 on a calculator?

You can find the GCD of 633, 918, 724, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.