GCD of 420, 291, 258, 212 Calculator

Given Input numbers are 420, 291, 258, 212

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 212

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

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 420, 291, 258, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 291, 258, 212 is 1.

Therefore, GCD of numbers 420, 291, 258, 212 is 1

Given Input Data is 420, 291, 258, 212

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 291 is 3 x 97

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 212 is 2 x 2 x 53

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(420, 291) = 40740

GCD(420, 291) = ( 420 x 291 ) / 40740

GCD(420, 291) = 122220 / 40740

GCD(420, 291) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 258

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

LCM(3, 258) = 258

GCD(3, 258) = ( 3 x 258 ) / 258

GCD(3, 258) = 774 / 258

GCD(3, 258) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 212

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

LCM(3, 212) = 636

GCD(3, 212) = ( 3 x 212 ) / 636

GCD(3, 212) = 636 / 636

GCD(3, 212) = 1

GCD of 420, 291, 258, 212 is 1

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1. What is the GCD of 420, 291, 258, 212?

GCD of 420, 291, 258, 212 is 1

2. Where do I get the detailed procedure to find GCD of 420, 291, 258, 212?

You can find a detailed procedure to find GCD of 420, 291, 258, 212 on our page.

3. How to find GCD of 420, 291, 258, 212 on a calculator?

You can find the GCD of 420, 291, 258, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.