GCD of 510, 321, 916, 421 Calculator

Given Input numbers are 510, 321, 916, 421

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 321

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

1, 3, 107, 321

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 510, 321, 916, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 321, 916, 421 is 1.

Therefore, GCD of numbers 510, 321, 916, 421 is 1

Given Input Data is 510, 321, 916, 421

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 321 is 3 x 107

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 421 is 421

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(510, 321) = 54570

GCD(510, 321) = ( 510 x 321 ) / 54570

GCD(510, 321) = 163710 / 54570

GCD(510, 321) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 916

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

LCM(3, 916) = 2748

GCD(3, 916) = ( 3 x 916 ) / 2748

GCD(3, 916) = 2748 / 2748

GCD(3, 916) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 510, 321, 916, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 128, 422, 388
• GCD of 908, 319, 715, 259
• GCD of 449, 143, 771, 433
• GCD of 335, 949, 346, 312
• GCD of 448, 137, 404, 839

1. What is the GCD of 510, 321, 916, 421?

GCD of 510, 321, 916, 421 is 1

2. Where do I get the detailed procedure to find GCD of 510, 321, 916, 421?

You can find a detailed procedure to find GCD of 510, 321, 916, 421 on our page.

3. How to find GCD of 510, 321, 916, 421 on a calculator?

You can find the GCD of 510, 321, 916, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.