GCD of 71, 595, 422, 712 Calculator

Given Input numbers are 71, 595, 422, 712

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

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 71, 595, 422, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 595, 422, 712 is 1.

Therefore, GCD of numbers 71, 595, 422, 712 is 1

Given Input Data is 71, 595, 422, 712

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

Prime Factorization of 71 is 71

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 422 is 2 x 211

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(71, 595) = 42245

GCD(71, 595) = ( 71 x 595 ) / 42245

GCD(71, 595) = 42245 / 42245

GCD(71, 595) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 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 71, 595, 422, 712 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 407, 205, 454
• GCD of 43, 127, 386, 257
• GCD of 67, 905, 316, 507
• GCD of 13, 442, 575, 311
• GCD of 67, 392, 713, 231

1. What is the GCD of 71, 595, 422, 712?

GCD of 71, 595, 422, 712 is 1

2. Where do I get the detailed procedure to find GCD of 71, 595, 422, 712?

You can find a detailed procedure to find GCD of 71, 595, 422, 712 on our page.

3. How to find GCD of 71, 595, 422, 712 on a calculator?

You can find the GCD of 71, 595, 422, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.