GCD of 212, 167, 221, 506 Calculator

Given Input numbers are 212, 167, 221, 506

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 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

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 212, 167, 221, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 167, 221, 506 is 1.

Therefore, GCD of numbers 212, 167, 221, 506 is 1

Given Input Data is 212, 167, 221, 506

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 167 is 167

Prime Factorization of 221 is 13 x 17

Prime Factorization of 506 is 2 x 11 x 23

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, 167) = 35404

GCD(212, 167) = ( 212 x 167 ) / 35404

GCD(212, 167) = 35404 / 35404

GCD(212, 167) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 212, 167, 221, 506 is 1

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1. What is the GCD of 212, 167, 221, 506?

GCD of 212, 167, 221, 506 is 1

2. Where do I get the detailed procedure to find GCD of 212, 167, 221, 506?

You can find a detailed procedure to find GCD of 212, 167, 221, 506 on our page.

3. How to find GCD of 212, 167, 221, 506 on a calculator?

You can find the GCD of 212, 167, 221, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.