GCD of 510, 829, 12, 821 Calculator

Given Input numbers are 510, 829, 12, 821

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 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 510, 829, 12, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 829, 12, 821 is 1.

Therefore, GCD of numbers 510, 829, 12, 821 is 1

Given Input Data is 510, 829, 12, 821

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 829 is 829

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 821 is 821

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, 829) = 422790

GCD(510, 829) = ( 510 x 829 ) / 422790

GCD(510, 829) = 422790 / 422790

GCD(510, 829) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 510, 829, 12, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 795, 30, 466
• GCD of 199, 867, 21, 706
• GCD of 627, 942, 47, 152
• GCD of 379, 670, 55, 293
• GCD of 997, 160, 22, 319

1. What is the GCD of 510, 829, 12, 821?

GCD of 510, 829, 12, 821 is 1

2. Where do I get the detailed procedure to find GCD of 510, 829, 12, 821?

You can find a detailed procedure to find GCD of 510, 829, 12, 821 on our page.

3. How to find GCD of 510, 829, 12, 821 on a calculator?

You can find the GCD of 510, 829, 12, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.