GCD of 212, 506, 706, 969 Calculator

Given Input numbers are 212, 506, 706, 969

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 706

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

1, 2, 353, 706

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 212, 506, 706, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 506, 706, 969 is 1.

Therefore, GCD of numbers 212, 506, 706, 969 is 1

Given Input Data is 212, 506, 706, 969

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 506 is 2 x 11 x 23

Prime Factorization of 706 is 2 x 353

Prime Factorization of 969 is 3 x 17 x 19

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(212, 506) = 53636

GCD(212, 506) = ( 212 x 506 ) / 53636

GCD(212, 506) = 107272 / 53636

GCD(212, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 706

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

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

GCD(2, 706) = 1412 / 706

GCD(2, 706) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 969

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

LCM(2, 969) = 1938

GCD(2, 969) = ( 2 x 969 ) / 1938

GCD(2, 969) = 1938 / 1938

GCD(2, 969) = 1

GCD of 212, 506, 706, 969 is 1

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1. What is the GCD of 212, 506, 706, 969?

GCD of 212, 506, 706, 969 is 1

2. Where do I get the detailed procedure to find GCD of 212, 506, 706, 969?

You can find a detailed procedure to find GCD of 212, 506, 706, 969 on our page.

3. How to find GCD of 212, 506, 706, 969 on a calculator?

You can find the GCD of 212, 506, 706, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.