GCD of 272, 217, 451, 313 Calculator

Given Input numbers are 272, 217, 451, 313

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

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 217

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

1, 7, 31, 217

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 272, 217, 451, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 217, 451, 313 is 1.

Therefore, GCD of numbers 272, 217, 451, 313 is 1

Given Input Data is 272, 217, 451, 313

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

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 451 is 11 x 41

Prime Factorization of 313 is 313

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(272, 217) = 59024

GCD(272, 217) = ( 272 x 217 ) / 59024

GCD(272, 217) = 59024 / 59024

GCD(272, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 451

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

LCM(1, 451) = 451

GCD(1, 451) = ( 1 x 451 ) / 451

GCD(1, 451) = 451 / 451

GCD(1, 451) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 272, 217, 451, 313 is 1

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1. What is the GCD of 272, 217, 451, 313?

GCD of 272, 217, 451, 313 is 1

2. Where do I get the detailed procedure to find GCD of 272, 217, 451, 313?

You can find a detailed procedure to find GCD of 272, 217, 451, 313 on our page.

3. How to find GCD of 272, 217, 451, 313 on a calculator?

You can find the GCD of 272, 217, 451, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.