GCD of 212, 380, 54, 843 Calculator

Given Input numbers are 212, 380, 54, 843

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 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Greatest Common Divisior

We found the divisors of 212, 380, 54, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 380, 54, 843 is 1.

Therefore, GCD of numbers 212, 380, 54, 843 is 1

Given Input Data is 212, 380, 54, 843

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 380 is 2 x 2 x 5 x 19

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 843 is 3 x 281

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, 380) = 20140

GCD(212, 380) = ( 212 x 380 ) / 20140

GCD(212, 380) = 80560 / 20140

GCD(212, 380) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 54

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

LCM(4, 54) = 108

GCD(4, 54) = ( 4 x 54 ) / 108

GCD(4, 54) = 216 / 108

GCD(4, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 843

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

LCM(2, 843) = 1686

GCD(2, 843) = ( 2 x 843 ) / 1686

GCD(2, 843) = 1686 / 1686

GCD(2, 843) = 1

GCD of 212, 380, 54, 843 is 1

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1. What is the GCD of 212, 380, 54, 843?

GCD of 212, 380, 54, 843 is 1

2. Where do I get the detailed procedure to find GCD of 212, 380, 54, 843?

You can find a detailed procedure to find GCD of 212, 380, 54, 843 on our page.

3. How to find GCD of 212, 380, 54, 843 on a calculator?

You can find the GCD of 212, 380, 54, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.