GCD of 210, 836, 52, 506 Calculator

Given Input numbers are 210, 836, 52, 506

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 52

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

1, 2, 4, 13, 26, 52

Divisors of 506

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

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

Greatest Common Divisior

We found the divisors of 210, 836, 52, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 836, 52, 506 is 2.

Therefore, GCD of numbers 210, 836, 52, 506 is 2

Given Input Data is 210, 836, 52, 506

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 506 is 2 x 11 x 23

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(210, 836) = 87780

GCD(210, 836) = ( 210 x 836 ) / 87780

GCD(210, 836) = 175560 / 87780

GCD(210, 836) = 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 506

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

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

GCD(2, 506) = 1012 / 506

GCD(2, 506) = 2

GCD of 210, 836, 52, 506 is 2

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1. What is the GCD of 210, 836, 52, 506?

GCD of 210, 836, 52, 506 is 2

2. Where do I get the detailed procedure to find GCD of 210, 836, 52, 506?

You can find a detailed procedure to find GCD of 210, 836, 52, 506 on our page.

3. How to find GCD of 210, 836, 52, 506 on a calculator?

You can find the GCD of 210, 836, 52, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.