GCD of 168, 988, 407, 321 Calculator

Given Input numbers are 168, 988, 407, 321

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 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 168, 988, 407, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 988, 407, 321 is 1.

Therefore, GCD of numbers 168, 988, 407, 321 is 1

Given Input Data is 168, 988, 407, 321

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 988 is 2 x 2 x 13 x 19

Prime Factorization of 407 is 11 x 37

Prime Factorization of 321 is 3 x 107

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, 988) = 41496

GCD(168, 988) = ( 168 x 988 ) / 41496

GCD(168, 988) = 165984 / 41496

GCD(168, 988) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 407

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

LCM(4, 407) = 1628

GCD(4, 407) = ( 4 x 407 ) / 1628

GCD(4, 407) = 1628 / 1628

GCD(4, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 168, 988, 407, 321 is 1

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1. What is the GCD of 168, 988, 407, 321?

GCD of 168, 988, 407, 321 is 1

2. Where do I get the detailed procedure to find GCD of 168, 988, 407, 321?

You can find a detailed procedure to find GCD of 168, 988, 407, 321 on our page.

3. How to find GCD of 168, 988, 407, 321 on a calculator?

You can find the GCD of 168, 988, 407, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.