GCD of 624, 171, 82, 296 Calculator

Given Input numbers are 624, 171, 82, 296

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 624, 171, 82, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 171, 82, 296 is 1.

Therefore, GCD of numbers 624, 171, 82, 296 is 1

Given Input Data is 624, 171, 82, 296

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 82 is 2 x 41

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(624, 171) = 35568

GCD(624, 171) = ( 624 x 171 ) / 35568

GCD(624, 171) = 106704 / 35568

GCD(624, 171) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 82

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

LCM(3, 82) = 246

GCD(3, 82) = ( 3 x 82 ) / 246

GCD(3, 82) = 246 / 246

GCD(3, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 624, 171, 82, 296 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 201, 14, 861
• GCD of 671, 805, 45, 456
• GCD of 660, 451, 36, 718
• GCD of 113, 177, 89, 632
• GCD of 792, 156, 27, 967

1. What is the GCD of 624, 171, 82, 296?

GCD of 624, 171, 82, 296 is 1

2. Where do I get the detailed procedure to find GCD of 624, 171, 82, 296?

You can find a detailed procedure to find GCD of 624, 171, 82, 296 on our page.

3. How to find GCD of 624, 171, 82, 296 on a calculator?

You can find the GCD of 624, 171, 82, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.