GCD of 537, 344, 50, 212 Calculator

Given Input numbers are 537, 344, 50, 212

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

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

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 537, 344, 50, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 344, 50, 212 is 1.

Therefore, GCD of numbers 537, 344, 50, 212 is 1

Given Input Data is 537, 344, 50, 212

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 50 is 2 x 5 x 5

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(537, 344) = 184728

GCD(537, 344) = ( 537 x 344 ) / 184728

GCD(537, 344) = 184728 / 184728

GCD(537, 344) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 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 537, 344, 50, 212 is 1

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1. What is the GCD of 537, 344, 50, 212?

GCD of 537, 344, 50, 212 is 1

2. Where do I get the detailed procedure to find GCD of 537, 344, 50, 212?

You can find a detailed procedure to find GCD of 537, 344, 50, 212 on our page.

3. How to find GCD of 537, 344, 50, 212 on a calculator?

You can find the GCD of 537, 344, 50, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.