GCD of 712, 591, 638, 755 Calculator

Given Input numbers are 712, 591, 638, 755

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

Divisors of 712

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

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

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 712, 591, 638, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 591, 638, 755 is 1.

Therefore, GCD of numbers 712, 591, 638, 755 is 1

Given Input Data is 712, 591, 638, 755

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 591 is 3 x 197

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 755 is 5 x 151

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(712, 591) = 420792

GCD(712, 591) = ( 712 x 591 ) / 420792

GCD(712, 591) = 420792 / 420792

GCD(712, 591) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 712, 591, 638, 755 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 721, 610, 149
• GCD of 600, 314, 508, 134
• GCD of 497, 751, 100, 428
• GCD of 399, 535, 322, 823
• GCD of 795, 105, 308, 372

1. What is the GCD of 712, 591, 638, 755?

GCD of 712, 591, 638, 755 is 1

2. Where do I get the detailed procedure to find GCD of 712, 591, 638, 755?

You can find a detailed procedure to find GCD of 712, 591, 638, 755 on our page.

3. How to find GCD of 712, 591, 638, 755 on a calculator?

You can find the GCD of 712, 591, 638, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.