GCD of 706, 636, 36, 212 Calculator

Given Input numbers are 706, 636, 36, 212

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

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 706, 636, 36, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 636, 36, 212 is 2.

Therefore, GCD of numbers 706, 636, 36, 212 is 2

Given Input Data is 706, 636, 36, 212

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 36 is 2 x 2 x 3 x 3

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(706, 636) = 224508

GCD(706, 636) = ( 706 x 636 ) / 224508

GCD(706, 636) = 449016 / 224508

GCD(706, 636) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

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 706, 636, 36, 212 is 2

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1. What is the GCD of 706, 636, 36, 212?

GCD of 706, 636, 36, 212 is 2

2. Where do I get the detailed procedure to find GCD of 706, 636, 36, 212?

You can find a detailed procedure to find GCD of 706, 636, 36, 212 on our page.

3. How to find GCD of 706, 636, 36, 212 on a calculator?

You can find the GCD of 706, 636, 36, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.