GCD of 713, 779, 58, 407 Calculator

Given Input numbers are 713, 779, 58, 407

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

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 58

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

1, 2, 29, 58

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 713, 779, 58, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 779, 58, 407 is 1.

Therefore, GCD of numbers 713, 779, 58, 407 is 1

Given Input Data is 713, 779, 58, 407

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 779 is 19 x 41

Prime Factorization of 58 is 2 x 29

Prime Factorization of 407 is 11 x 37

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(713, 779) = 555427

GCD(713, 779) = ( 713 x 779 ) / 555427

GCD(713, 779) = 555427 / 555427

GCD(713, 779) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 713, 779, 58, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 473, 35, 238
• GCD of 601, 312, 58, 317
• GCD of 294, 739, 57, 249
• GCD of 481, 111, 58, 335
• GCD of 908, 184, 41, 204

1. What is the GCD of 713, 779, 58, 407?

GCD of 713, 779, 58, 407 is 1

2. Where do I get the detailed procedure to find GCD of 713, 779, 58, 407?

You can find a detailed procedure to find GCD of 713, 779, 58, 407 on our page.

3. How to find GCD of 713, 779, 58, 407 on a calculator?

You can find the GCD of 713, 779, 58, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.