GCD of 82, 217, 372, 272 Calculator

Given Input numbers are 82, 217, 372, 272

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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

Greatest Common Divisior

We found the divisors of 82, 217, 372, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 217, 372, 272 is 1.

Therefore, GCD of numbers 82, 217, 372, 272 is 1

Given Input Data is 82, 217, 372, 272

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 217 is 7 x 31

Prime Factorization of 372 is 2 x 2 x 3 x 31

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

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(82, 217) = 17794

GCD(82, 217) = ( 82 x 217 ) / 17794

GCD(82, 217) = 17794 / 17794

GCD(82, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 372

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

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

GCD(1, 372) = 372 / 372

GCD(1, 372) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 82, 217, 372, 272 is 1

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1. What is the GCD of 82, 217, 372, 272?

GCD of 82, 217, 372, 272 is 1

2. Where do I get the detailed procedure to find GCD of 82, 217, 372, 272?

You can find a detailed procedure to find GCD of 82, 217, 372, 272 on our page.

3. How to find GCD of 82, 217, 372, 272 on a calculator?

You can find the GCD of 82, 217, 372, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.