GCD of 212, 938, 322 Calculator

Given Input numbers are 212, 938, 322

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 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 212, 938, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 938, 322 is 2.

Therefore, GCD of numbers 212, 938, 322 is 2

Given Input Data is 212, 938, 322

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 938 is 2 x 7 x 67

Prime Factorization of 322 is 2 x 7 x 23

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, 938) = 99428

GCD(212, 938) = ( 212 x 938 ) / 99428

GCD(212, 938) = 198856 / 99428

GCD(212, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 322

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

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

GCD(2, 322) = 644 / 322

GCD(2, 322) = 2

GCD of 212, 938, 322 is 2

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1. What is the GCD of 212, 938, 322?

GCD of 212, 938, 322 is 2

2. Where do I get the detailed procedure to find GCD of 212, 938, 322?

You can find a detailed procedure to find GCD of 212, 938, 322 on our page.

3. How to find GCD of 212, 938, 322 on a calculator?

You can find the GCD of 212, 938, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.