GCD of 218, 471, 40, 596 Calculator

Given Input numbers are 218, 471, 40, 596

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 218, 471, 40, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 471, 40, 596 is 1.

Therefore, GCD of numbers 218, 471, 40, 596 is 1

Given Input Data is 218, 471, 40, 596

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 471 is 3 x 157

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 596 is 2 x 2 x 149

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(218, 471) = 102678

GCD(218, 471) = ( 218 x 471 ) / 102678

GCD(218, 471) = 102678 / 102678

GCD(218, 471) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

GCD of 218, 471, 40, 596 is 1

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1. What is the GCD of 218, 471, 40, 596?

GCD of 218, 471, 40, 596 is 1

2. Where do I get the detailed procedure to find GCD of 218, 471, 40, 596?

You can find a detailed procedure to find GCD of 218, 471, 40, 596 on our page.

3. How to find GCD of 218, 471, 40, 596 on a calculator?

You can find the GCD of 218, 471, 40, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.