GCD of 58, 744, 859, 339 Calculator

Given Input numbers are 58, 744, 859, 339

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

Divisors of 58

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

1, 2, 29, 58

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 58, 744, 859, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 744, 859, 339 is 1.

Therefore, GCD of numbers 58, 744, 859, 339 is 1

Given Input Data is 58, 744, 859, 339

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 859 is 859

Prime Factorization of 339 is 3 x 113

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(58, 744) = 21576

GCD(58, 744) = ( 58 x 744 ) / 21576

GCD(58, 744) = 43152 / 21576

GCD(58, 744) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 859

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

LCM(2, 859) = 1718

GCD(2, 859) = ( 2 x 859 ) / 1718

GCD(2, 859) = 1718 / 1718

GCD(2, 859) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

GCD of 58, 744, 859, 339 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 938, 999, 870
• GCD of 51, 652, 292, 751
• GCD of 91, 420, 831, 766
• GCD of 85, 912, 339, 881
• GCD of 53, 448, 106, 887

1. What is the GCD of 58, 744, 859, 339?

GCD of 58, 744, 859, 339 is 1

2. Where do I get the detailed procedure to find GCD of 58, 744, 859, 339?

You can find a detailed procedure to find GCD of 58, 744, 859, 339 on our page.

3. How to find GCD of 58, 744, 859, 339 on a calculator?

You can find the GCD of 58, 744, 859, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.