GCD of 59, 413, 471, 324 Calculator

Given Input numbers are 59, 413, 471, 324

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

Divisors of 59

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

1, 59

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 59, 413, 471, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 413, 471, 324 is 1.

Therefore, GCD of numbers 59, 413, 471, 324 is 1

Given Input Data is 59, 413, 471, 324

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

Prime Factorization of 59 is 59

Prime Factorization of 413 is 7 x 59

Prime Factorization of 471 is 3 x 157

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(59, 413) = 413

GCD(59, 413) = ( 59 x 413 ) / 413

GCD(59, 413) = 24367 / 413

GCD(59, 413) = 59

Step2:

Here we consider the GCD from the above i.e. 59 as first number and the next as 471

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

LCM(59, 471) = 27789

GCD(59, 471) = ( 59 x 471 ) / 27789

GCD(59, 471) = 27789 / 27789

GCD(59, 471) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 59, 413, 471, 324 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 218, 939, 788
• GCD of 29, 814, 269, 281
• GCD of 91, 773, 175, 794
• GCD of 44, 375, 979, 218
• GCD of 14, 962, 584, 632

1. What is the GCD of 59, 413, 471, 324?

GCD of 59, 413, 471, 324 is 1

2. Where do I get the detailed procedure to find GCD of 59, 413, 471, 324?

You can find a detailed procedure to find GCD of 59, 413, 471, 324 on our page.

3. How to find GCD of 59, 413, 471, 324 on a calculator?

You can find the GCD of 59, 413, 471, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.