GCD of 428, 445, 84, 212 Calculator

Given Input numbers are 428, 445, 84, 212

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 428, 445, 84, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 445, 84, 212 is 1.

Therefore, GCD of numbers 428, 445, 84, 212 is 1

Given Input Data is 428, 445, 84, 212

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 445 is 5 x 89

Prime Factorization of 84 is 2 x 2 x 3 x 7

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(428, 445) = 190460

GCD(428, 445) = ( 428 x 445 ) / 190460

GCD(428, 445) = 190460 / 190460

GCD(428, 445) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 212

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

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

GCD(1, 212) = 212 / 212

GCD(1, 212) = 1

GCD of 428, 445, 84, 212 is 1

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1. What is the GCD of 428, 445, 84, 212?

GCD of 428, 445, 84, 212 is 1

2. Where do I get the detailed procedure to find GCD of 428, 445, 84, 212?

You can find a detailed procedure to find GCD of 428, 445, 84, 212 on our page.

3. How to find GCD of 428, 445, 84, 212 on a calculator?

You can find the GCD of 428, 445, 84, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.