GCD of 365, 730, 939, 574 Calculator

Given Input numbers are 365, 730, 939, 574

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

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 365, 730, 939, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 730, 939, 574 is 1.

Therefore, GCD of numbers 365, 730, 939, 574 is 1

Given Input Data is 365, 730, 939, 574

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 939 is 3 x 313

Prime Factorization of 574 is 2 x 7 x 41

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(365, 730) = 730

GCD(365, 730) = ( 365 x 730 ) / 730

GCD(365, 730) = 266450 / 730

GCD(365, 730) = 365

Step2:

Here we consider the GCD from the above i.e. 365 as first number and the next as 939

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

LCM(365, 939) = 342735

GCD(365, 939) = ( 365 x 939 ) / 342735

GCD(365, 939) = 342735 / 342735

GCD(365, 939) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

GCD of 365, 730, 939, 574 is 1

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1. What is the GCD of 365, 730, 939, 574?

GCD of 365, 730, 939, 574 is 1

2. Where do I get the detailed procedure to find GCD of 365, 730, 939, 574?

You can find a detailed procedure to find GCD of 365, 730, 939, 574 on our page.

3. How to find GCD of 365, 730, 939, 574 on a calculator?

You can find the GCD of 365, 730, 939, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.