GCD of 185, 522, 59, 149 Calculator

Given Input numbers are 185, 522, 59, 149

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

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

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 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 185, 522, 59, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 185, 522, 59, 149 is 1.

Therefore, GCD of numbers 185, 522, 59, 149 is 1

Given Input Data is 185, 522, 59, 149

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

Prime Factorization of 185 is 5 x 37

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

Prime Factorization of 59 is 59

Prime Factorization of 149 is 149

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(185, 522) = 96570

GCD(185, 522) = ( 185 x 522 ) / 96570

GCD(185, 522) = 96570 / 96570

GCD(185, 522) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 185, 522, 59, 149 is 1

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1. What is the GCD of 185, 522, 59, 149?

GCD of 185, 522, 59, 149 is 1

2. Where do I get the detailed procedure to find GCD of 185, 522, 59, 149?

You can find a detailed procedure to find GCD of 185, 522, 59, 149 on our page.

3. How to find GCD of 185, 522, 59, 149 on a calculator?

You can find the GCD of 185, 522, 59, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.