GCD of 212, 132, 50, 944 Calculator

Given Input numbers are 212, 132, 50, 944

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 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 212, 132, 50, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 132, 50, 944 is 2.

Therefore, GCD of numbers 212, 132, 50, 944 is 2

Given Input Data is 212, 132, 50, 944

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 132 is 2 x 2 x 3 x 11

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 132) = 6996

GCD(212, 132) = ( 212 x 132 ) / 6996

GCD(212, 132) = 27984 / 6996

GCD(212, 132) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 50

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

LCM(4, 50) = 100

GCD(4, 50) = ( 4 x 50 ) / 100

GCD(4, 50) = 200 / 100

GCD(4, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 944

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

LCM(2, 944) = 944

GCD(2, 944) = ( 2 x 944 ) / 944

GCD(2, 944) = 1888 / 944

GCD(2, 944) = 2

GCD of 212, 132, 50, 944 is 2

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1. What is the GCD of 212, 132, 50, 944?

GCD of 212, 132, 50, 944 is 2

2. Where do I get the detailed procedure to find GCD of 212, 132, 50, 944?

You can find a detailed procedure to find GCD of 212, 132, 50, 944 on our page.

3. How to find GCD of 212, 132, 50, 944 on a calculator?

You can find the GCD of 212, 132, 50, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.