GCD of 365, 613, 38, 825 Calculator

Given Input numbers are 365, 613, 38, 825

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 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 365, 613, 38, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 613, 38, 825 is 1.

Therefore, GCD of numbers 365, 613, 38, 825 is 1

Given Input Data is 365, 613, 38, 825

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 613 is 613

Prime Factorization of 38 is 2 x 19

Prime Factorization of 825 is 3 x 5 x 5 x 11

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, 613) = 223745

GCD(365, 613) = ( 365 x 613 ) / 223745

GCD(365, 613) = 223745 / 223745

GCD(365, 613) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 365, 613, 38, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 466, 841, 90, 158
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• GCD of 581, 936, 55, 587
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• GCD of 237, 856, 90, 133

1. What is the GCD of 365, 613, 38, 825?

GCD of 365, 613, 38, 825 is 1

2. Where do I get the detailed procedure to find GCD of 365, 613, 38, 825?

You can find a detailed procedure to find GCD of 365, 613, 38, 825 on our page.

3. How to find GCD of 365, 613, 38, 825 on a calculator?

You can find the GCD of 365, 613, 38, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.