GCD of 684, 410, 55, 323 Calculator

Given Input numbers are 684, 410, 55, 323

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 684, 410, 55, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 410, 55, 323 is 1.

Therefore, GCD of numbers 684, 410, 55, 323 is 1

Given Input Data is 684, 410, 55, 323

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 55 is 5 x 11

Prime Factorization of 323 is 17 x 19

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(684, 410) = 140220

GCD(684, 410) = ( 684 x 410 ) / 140220

GCD(684, 410) = 280440 / 140220

GCD(684, 410) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 55

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

LCM(2, 55) = 110

GCD(2, 55) = ( 2 x 55 ) / 110

GCD(2, 55) = 110 / 110

GCD(2, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 323

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

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

GCD(1, 323) = 323 / 323

GCD(1, 323) = 1

GCD of 684, 410, 55, 323 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 524, 733, 58, 719
• GCD of 554, 454, 39, 915
• GCD of 782, 483, 95, 151
• GCD of 863, 718, 71, 806
• GCD of 812, 505, 11, 272

1. What is the GCD of 684, 410, 55, 323?

GCD of 684, 410, 55, 323 is 1

2. Where do I get the detailed procedure to find GCD of 684, 410, 55, 323?

You can find a detailed procedure to find GCD of 684, 410, 55, 323 on our page.

3. How to find GCD of 684, 410, 55, 323 on a calculator?

You can find the GCD of 684, 410, 55, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.