GCD of 58, 212, 272, 508 Calculator

Given Input numbers are 58, 212, 272, 508

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 58, 212, 272, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 212, 272, 508 is 2.

Therefore, GCD of numbers 58, 212, 272, 508 is 2

Given Input Data is 58, 212, 272, 508

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 508 is 2 x 2 x 127

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(58, 212) = 6148

GCD(58, 212) = ( 58 x 212 ) / 6148

GCD(58, 212) = 12296 / 6148

GCD(58, 212) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 272

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

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

GCD(2, 272) = 544 / 272

GCD(2, 272) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 508

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

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

GCD(2, 508) = 1016 / 508

GCD(2, 508) = 2

GCD of 58, 212, 272, 508 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 907, 273, 119
• GCD of 86, 229, 393, 121
• GCD of 29, 236, 643, 863
• GCD of 66, 828, 734, 467
• GCD of 31, 702, 284, 595

1. What is the GCD of 58, 212, 272, 508?

GCD of 58, 212, 272, 508 is 2

2. Where do I get the detailed procedure to find GCD of 58, 212, 272, 508?

You can find a detailed procedure to find GCD of 58, 212, 272, 508 on our page.

3. How to find GCD of 58, 212, 272, 508 on a calculator?

You can find the GCD of 58, 212, 272, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.