GCD of 759, 586, 31, 712 Calculator

Given Input numbers are 759, 586, 31, 712

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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 759, 586, 31, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 586, 31, 712 is 1.

Therefore, GCD of numbers 759, 586, 31, 712 is 1

Given Input Data is 759, 586, 31, 712

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 586 is 2 x 293

Prime Factorization of 31 is 31

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(759, 586) = 444774

GCD(759, 586) = ( 759 x 586 ) / 444774

GCD(759, 586) = 444774 / 444774

GCD(759, 586) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 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 759, 586, 31, 712 is 1

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• GCD of 127, 705, 51, 372
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1. What is the GCD of 759, 586, 31, 712?

GCD of 759, 586, 31, 712 is 1

2. Where do I get the detailed procedure to find GCD of 759, 586, 31, 712?

You can find a detailed procedure to find GCD of 759, 586, 31, 712 on our page.

3. How to find GCD of 759, 586, 31, 712 on a calculator?

You can find the GCD of 759, 586, 31, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.