GCD of 59, 214, 558, 890 Calculator

Given Input numbers are 59, 214, 558, 890

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 59, 214, 558, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 214, 558, 890 is 1.

Therefore, GCD of numbers 59, 214, 558, 890 is 1

Given Input Data is 59, 214, 558, 890

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

Prime Factorization of 59 is 59

Prime Factorization of 214 is 2 x 107

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 890 is 2 x 5 x 89

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(59, 214) = 12626

GCD(59, 214) = ( 59 x 214 ) / 12626

GCD(59, 214) = 12626 / 12626

GCD(59, 214) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

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

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1

GCD of 59, 214, 558, 890 is 1

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1. What is the GCD of 59, 214, 558, 890?

GCD of 59, 214, 558, 890 is 1

2. Where do I get the detailed procedure to find GCD of 59, 214, 558, 890?

You can find a detailed procedure to find GCD of 59, 214, 558, 890 on our page.

3. How to find GCD of 59, 214, 558, 890 on a calculator?

You can find the GCD of 59, 214, 558, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.