GCD of 653, 522, 38 Calculator

Given Input numbers are 653, 522, 38

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

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 38

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

1, 2, 19, 38

Greatest Common Divisior

We found the divisors of 653, 522, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 522, 38 is 1.

Therefore, GCD of numbers 653, 522, 38 is 1

Given Input Data is 653, 522, 38

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

Prime Factorization of 653 is 653

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 38 is 2 x 19

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(653, 522) = 340866

GCD(653, 522) = ( 653 x 522 ) / 340866

GCD(653, 522) = 340866 / 340866

GCD(653, 522) = 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

GCD of 653, 522, 38 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 914, 70
• GCD of 367, 191, 43
• GCD of 692, 344, 49
• GCD of 321, 706, 83
• GCD of 987, 406, 46

1. What is the GCD of 653, 522, 38?

GCD of 653, 522, 38 is 1

2. Where do I get the detailed procedure to find GCD of 653, 522, 38?

You can find a detailed procedure to find GCD of 653, 522, 38 on our page.

3. How to find GCD of 653, 522, 38 on a calculator?

You can find the GCD of 653, 522, 38 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.