GCD of 518, 446, 970, 212 Calculator

Given Input numbers are 518, 446, 970, 212

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

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 518, 446, 970, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 446, 970, 212 is 2.

Therefore, GCD of numbers 518, 446, 970, 212 is 2

Given Input Data is 518, 446, 970, 212

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 446 is 2 x 223

Prime Factorization of 970 is 2 x 5 x 97

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(518, 446) = 115514

GCD(518, 446) = ( 518 x 446 ) / 115514

GCD(518, 446) = 231028 / 115514

GCD(518, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 970

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

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

GCD(2, 970) = 1940 / 970

GCD(2, 970) = 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 518, 446, 970, 212 is 2

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1. What is the GCD of 518, 446, 970, 212?

GCD of 518, 446, 970, 212 is 2

2. Where do I get the detailed procedure to find GCD of 518, 446, 970, 212?

You can find a detailed procedure to find GCD of 518, 446, 970, 212 on our page.

3. How to find GCD of 518, 446, 970, 212 on a calculator?

You can find the GCD of 518, 446, 970, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.