GCD of 258, 218, 74, 212 Calculator

Given Input numbers are 258, 218, 74, 212

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

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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 258, 218, 74, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 218, 74, 212 is 2.

Therefore, GCD of numbers 258, 218, 74, 212 is 2

Given Input Data is 258, 218, 74, 212

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 218 is 2 x 109

Prime Factorization of 74 is 2 x 37

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(258, 218) = 28122

GCD(258, 218) = ( 258 x 218 ) / 28122

GCD(258, 218) = 56244 / 28122

GCD(258, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 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 258, 218, 74, 212 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 124, 33, 453
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• GCD of 359, 427, 52, 779

1. What is the GCD of 258, 218, 74, 212?

GCD of 258, 218, 74, 212 is 2

2. Where do I get the detailed procedure to find GCD of 258, 218, 74, 212?

You can find a detailed procedure to find GCD of 258, 218, 74, 212 on our page.

3. How to find GCD of 258, 218, 74, 212 on a calculator?

You can find the GCD of 258, 218, 74, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.