GCD of 212, 492, 825, 215 Calculator

Given Input numbers are 212, 492, 825, 215

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 212, 492, 825, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 492, 825, 215 is 1.

Therefore, GCD of numbers 212, 492, 825, 215 is 1

Given Input Data is 212, 492, 825, 215

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 215 is 5 x 43

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(212, 492) = 26076

GCD(212, 492) = ( 212 x 492 ) / 26076

GCD(212, 492) = 104304 / 26076

GCD(212, 492) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 825

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

LCM(4, 825) = 3300

GCD(4, 825) = ( 4 x 825 ) / 3300

GCD(4, 825) = 3300 / 3300

GCD(4, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 215

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

LCM(1, 215) = 215

GCD(1, 215) = ( 1 x 215 ) / 215

GCD(1, 215) = 215 / 215

GCD(1, 215) = 1

GCD of 212, 492, 825, 215 is 1

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1. What is the GCD of 212, 492, 825, 215?

GCD of 212, 492, 825, 215 is 1

2. Where do I get the detailed procedure to find GCD of 212, 492, 825, 215?

You can find a detailed procedure to find GCD of 212, 492, 825, 215 on our page.

3. How to find GCD of 212, 492, 825, 215 on a calculator?

You can find the GCD of 212, 492, 825, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.