GCD of 712, 188, 493, 397 Calculator

Given Input numbers are 712, 188, 493, 397

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 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 712, 188, 493, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 188, 493, 397 is 1.

Therefore, GCD of numbers 712, 188, 493, 397 is 1

Given Input Data is 712, 188, 493, 397

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 188 is 2 x 2 x 47

Prime Factorization of 493 is 17 x 29

Prime Factorization of 397 is 397

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, 188) = 33464

GCD(712, 188) = ( 712 x 188 ) / 33464

GCD(712, 188) = 133856 / 33464

GCD(712, 188) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 493

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

LCM(4, 493) = 1972

GCD(4, 493) = ( 4 x 493 ) / 1972

GCD(4, 493) = 1972 / 1972

GCD(4, 493) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 397

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

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

GCD(1, 397) = 397 / 397

GCD(1, 397) = 1

GCD of 712, 188, 493, 397 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 187, 308, 759
• GCD of 396, 268, 210, 759
• GCD of 212, 132, 739, 991
• GCD of 729, 722, 594, 647
• GCD of 454, 966, 412, 950

1. What is the GCD of 712, 188, 493, 397?

GCD of 712, 188, 493, 397 is 1

2. Where do I get the detailed procedure to find GCD of 712, 188, 493, 397?

You can find a detailed procedure to find GCD of 712, 188, 493, 397 on our page.

3. How to find GCD of 712, 188, 493, 397 on a calculator?

You can find the GCD of 712, 188, 493, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.