GCD of 45, 559, 213, 689 Calculator

Given Input numbers are 45, 559, 213, 689

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 45, 559, 213, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 559, 213, 689 is 1.

Therefore, GCD of numbers 45, 559, 213, 689 is 1

Given Input Data is 45, 559, 213, 689

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 559 is 13 x 43

Prime Factorization of 213 is 3 x 71

Prime Factorization of 689 is 13 x 53

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(45, 559) = 25155

GCD(45, 559) = ( 45 x 559 ) / 25155

GCD(45, 559) = 25155 / 25155

GCD(45, 559) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 45, 559, 213, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 555, 894, 943
• GCD of 16, 677, 972, 270
• GCD of 34, 598, 859, 965
• GCD of 14, 105, 889, 385
• GCD of 81, 555, 752, 405

1. What is the GCD of 45, 559, 213, 689?

GCD of 45, 559, 213, 689 is 1

2. Where do I get the detailed procedure to find GCD of 45, 559, 213, 689?

You can find a detailed procedure to find GCD of 45, 559, 213, 689 on our page.

3. How to find GCD of 45, 559, 213, 689 on a calculator?

You can find the GCD of 45, 559, 213, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.