GCD of 579, 713, 58, 354 Calculator

Given Input numbers are 579, 713, 58, 354

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

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 713

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

1, 23, 31, 713

Divisors of 58

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

1, 2, 29, 58

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 579, 713, 58, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 579, 713, 58, 354 is 1.

Therefore, GCD of numbers 579, 713, 58, 354 is 1

Given Input Data is 579, 713, 58, 354

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

Prime Factorization of 579 is 3 x 193

Prime Factorization of 713 is 23 x 31

Prime Factorization of 58 is 2 x 29

Prime Factorization of 354 is 2 x 3 x 59

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(579, 713) = 412827

GCD(579, 713) = ( 579 x 713 ) / 412827

GCD(579, 713) = 412827 / 412827

GCD(579, 713) = 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 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 579, 713, 58, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 811, 16, 617
• GCD of 634, 568, 40, 416
• GCD of 391, 243, 10, 149
• GCD of 368, 537, 43, 263
• GCD of 512, 299, 18, 788

1. What is the GCD of 579, 713, 58, 354?

GCD of 579, 713, 58, 354 is 1

2. Where do I get the detailed procedure to find GCD of 579, 713, 58, 354?

You can find a detailed procedure to find GCD of 579, 713, 58, 354 on our page.

3. How to find GCD of 579, 713, 58, 354 on a calculator?

You can find the GCD of 579, 713, 58, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.