GCD of 559, 936, 58, 712 Calculator

Given Input numbers are 559, 936, 58, 712

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

Divisors of 559

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

1, 13, 43, 559

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 559, 936, 58, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 936, 58, 712 is 1.

Therefore, GCD of numbers 559, 936, 58, 712 is 1

Given Input Data is 559, 936, 58, 712

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 58 is 2 x 29

Prime Factorization of 712 is 2 x 2 x 2 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(559, 936) = 40248

GCD(559, 936) = ( 559 x 936 ) / 40248

GCD(559, 936) = 523224 / 40248

GCD(559, 936) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 58

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

LCM(13, 58) = 754

GCD(13, 58) = ( 13 x 58 ) / 754

GCD(13, 58) = 754 / 754

GCD(13, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 559, 936, 58, 712 is 1

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1. What is the GCD of 559, 936, 58, 712?

GCD of 559, 936, 58, 712 is 1

2. Where do I get the detailed procedure to find GCD of 559, 936, 58, 712?

You can find a detailed procedure to find GCD of 559, 936, 58, 712 on our page.

3. How to find GCD of 559, 936, 58, 712 on a calculator?

You can find the GCD of 559, 936, 58, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.