GCD of 168, 591, 409, 658 Calculator

Given Input numbers are 168, 591, 409, 658

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 168, 591, 409, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 591, 409, 658 is 1.

Therefore, GCD of numbers 168, 591, 409, 658 is 1

Given Input Data is 168, 591, 409, 658

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 591 is 3 x 197

Prime Factorization of 409 is 409

Prime Factorization of 658 is 2 x 7 x 47

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(168, 591) = 33096

GCD(168, 591) = ( 168 x 591 ) / 33096

GCD(168, 591) = 99288 / 33096

GCD(168, 591) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 409

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

LCM(3, 409) = 1227

GCD(3, 409) = ( 3 x 409 ) / 1227

GCD(3, 409) = 1227 / 1227

GCD(3, 409) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

GCD of 168, 591, 409, 658 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 201, 681, 211
• GCD of 578, 987, 523, 754
• GCD of 930, 549, 117, 583
• GCD of 577, 185, 949, 200
• GCD of 304, 478, 200, 255

1. What is the GCD of 168, 591, 409, 658?

GCD of 168, 591, 409, 658 is 1

2. Where do I get the detailed procedure to find GCD of 168, 591, 409, 658?

You can find a detailed procedure to find GCD of 168, 591, 409, 658 on our page.

3. How to find GCD of 168, 591, 409, 658 on a calculator?

You can find the GCD of 168, 591, 409, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.