GCD of 522, 137, 61, 409 Calculator

Given Input numbers are 522, 137, 61, 409

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

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 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 522, 137, 61, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 137, 61, 409 is 1.

Therefore, GCD of numbers 522, 137, 61, 409 is 1

Given Input Data is 522, 137, 61, 409

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

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

Prime Factorization of 137 is 137

Prime Factorization of 61 is 61

Prime Factorization of 409 is 409

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(522, 137) = 71514

GCD(522, 137) = ( 522 x 137 ) / 71514

GCD(522, 137) = 71514 / 71514

GCD(522, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

GCD of 522, 137, 61, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 126, 898, 45, 331
• GCD of 143, 408, 79, 793
• GCD of 907, 244, 20, 912
• GCD of 877, 433, 25, 470
• GCD of 143, 844, 52, 796

1. What is the GCD of 522, 137, 61, 409?

GCD of 522, 137, 61, 409 is 1

2. Where do I get the detailed procedure to find GCD of 522, 137, 61, 409?

You can find a detailed procedure to find GCD of 522, 137, 61, 409 on our page.

3. How to find GCD of 522, 137, 61, 409 on a calculator?

You can find the GCD of 522, 137, 61, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.