GCD of 478, 824, 59, 328 Calculator

Given Input numbers are 478, 824, 59, 328

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 59

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

1, 59

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Greatest Common Divisior

We found the divisors of 478, 824, 59, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 824, 59, 328 is 1.

Therefore, GCD of numbers 478, 824, 59, 328 is 1

Given Input Data is 478, 824, 59, 328

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 59 is 59

Prime Factorization of 328 is 2 x 2 x 2 x 41

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(478, 824) = 196936

GCD(478, 824) = ( 478 x 824 ) / 196936

GCD(478, 824) = 393872 / 196936

GCD(478, 824) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 328

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

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

GCD(1, 328) = 328 / 328

GCD(1, 328) = 1

GCD of 478, 824, 59, 328 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 811, 85, 782
• GCD of 440, 535, 46, 586
• GCD of 243, 838, 46, 133
• GCD of 569, 413, 51, 371
• GCD of 714, 531, 41, 495

1. What is the GCD of 478, 824, 59, 328?

GCD of 478, 824, 59, 328 is 1

2. Where do I get the detailed procedure to find GCD of 478, 824, 59, 328?

You can find a detailed procedure to find GCD of 478, 824, 59, 328 on our page.

3. How to find GCD of 478, 824, 59, 328 on a calculator?

You can find the GCD of 478, 824, 59, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.