GCD of 506, 630, 52, 406 Calculator

Given Input numbers are 506, 630, 52, 406

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 506, 630, 52, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 630, 52, 406 is 2.

Therefore, GCD of numbers 506, 630, 52, 406 is 2

Given Input Data is 506, 630, 52, 406

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 406 is 2 x 7 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(506, 630) = 159390

GCD(506, 630) = ( 506 x 630 ) / 159390

GCD(506, 630) = 318780 / 159390

GCD(506, 630) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 406

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

LCM(2, 406) = 406

GCD(2, 406) = ( 2 x 406 ) / 406

GCD(2, 406) = 812 / 406

GCD(2, 406) = 2

GCD of 506, 630, 52, 406 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 600, 29, 887
• GCD of 537, 680, 64, 757
• GCD of 327, 245, 56, 535
• GCD of 178, 307, 62, 714
• GCD of 580, 145, 58, 498

1. What is the GCD of 506, 630, 52, 406?

GCD of 506, 630, 52, 406 is 2

2. Where do I get the detailed procedure to find GCD of 506, 630, 52, 406?

You can find a detailed procedure to find GCD of 506, 630, 52, 406 on our page.

3. How to find GCD of 506, 630, 52, 406 on a calculator?

You can find the GCD of 506, 630, 52, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.