GCD of 218, 543, 445, 600 Calculator

Given Input numbers are 218, 543, 445, 600

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 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 218, 543, 445, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 543, 445, 600 is 1.

Therefore, GCD of numbers 218, 543, 445, 600 is 1

Given Input Data is 218, 543, 445, 600

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 543 is 3 x 181

Prime Factorization of 445 is 5 x 89

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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, 543) = 118374

GCD(218, 543) = ( 218 x 543 ) / 118374

GCD(218, 543) = 118374 / 118374

GCD(218, 543) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 445

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

LCM(1, 445) = 445

GCD(1, 445) = ( 1 x 445 ) / 445

GCD(1, 445) = 445 / 445

GCD(1, 445) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 218, 543, 445, 600 is 1

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1. What is the GCD of 218, 543, 445, 600?

GCD of 218, 543, 445, 600 is 1

2. Where do I get the detailed procedure to find GCD of 218, 543, 445, 600?

You can find a detailed procedure to find GCD of 218, 543, 445, 600 on our page.

3. How to find GCD of 218, 543, 445, 600 on a calculator?

You can find the GCD of 218, 543, 445, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.