GCD of 365, 107, 14, 582 Calculator

Given Input numbers are 365, 107, 14, 582

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 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Greatest Common Divisior

We found the divisors of 365, 107, 14, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 107, 14, 582 is 1.

Therefore, GCD of numbers 365, 107, 14, 582 is 1

Given Input Data is 365, 107, 14, 582

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 107 is 107

Prime Factorization of 14 is 2 x 7

Prime Factorization of 582 is 2 x 3 x 97

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, 107) = 39055

GCD(365, 107) = ( 365 x 107 ) / 39055

GCD(365, 107) = 39055 / 39055

GCD(365, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 582

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

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

GCD(1, 582) = 582 / 582

GCD(1, 582) = 1

GCD of 365, 107, 14, 582 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 139, 54, 507
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• GCD of 729, 977, 17, 646
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• GCD of 991, 205, 28, 452

1. What is the GCD of 365, 107, 14, 582?

GCD of 365, 107, 14, 582 is 1

2. Where do I get the detailed procedure to find GCD of 365, 107, 14, 582?

You can find a detailed procedure to find GCD of 365, 107, 14, 582 on our page.

3. How to find GCD of 365, 107, 14, 582 on a calculator?

You can find the GCD of 365, 107, 14, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.