GCD of 164, 946, 212 Calculator

Given Input numbers are 164, 946, 212

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

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 164, 946, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 946, 212 is 2.

Therefore, GCD of numbers 164, 946, 212 is 2

Given Input Data is 164, 946, 212

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 212 is 2 x 2 x 53

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(164, 946) = 77572

GCD(164, 946) = ( 164 x 946 ) / 77572

GCD(164, 946) = 155144 / 77572

GCD(164, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 212

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

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

GCD(2, 212) = 424 / 212

GCD(2, 212) = 2

GCD of 164, 946, 212 is 2

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1. What is the GCD of 164, 946, 212?

GCD of 164, 946, 212 is 2

2. Where do I get the detailed procedure to find GCD of 164, 946, 212?

You can find a detailed procedure to find GCD of 164, 946, 212 on our page.

3. How to find GCD of 164, 946, 212 on a calculator?

You can find the GCD of 164, 946, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.