GCD of 318, 843, 272, 415 Calculator

Given Input numbers are 318, 843, 272, 415

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

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 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 318, 843, 272, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 843, 272, 415 is 1.

Therefore, GCD of numbers 318, 843, 272, 415 is 1

Given Input Data is 318, 843, 272, 415

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 843 is 3 x 281

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

Prime Factorization of 415 is 5 x 83

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(318, 843) = 89358

GCD(318, 843) = ( 318 x 843 ) / 89358

GCD(318, 843) = 268074 / 89358

GCD(318, 843) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 272

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

LCM(3, 272) = 816

GCD(3, 272) = ( 3 x 272 ) / 816

GCD(3, 272) = 816 / 816

GCD(3, 272) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 415

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

LCM(1, 415) = 415

GCD(1, 415) = ( 1 x 415 ) / 415

GCD(1, 415) = 415 / 415

GCD(1, 415) = 1

GCD of 318, 843, 272, 415 is 1

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1. What is the GCD of 318, 843, 272, 415?

GCD of 318, 843, 272, 415 is 1

2. Where do I get the detailed procedure to find GCD of 318, 843, 272, 415?

You can find a detailed procedure to find GCD of 318, 843, 272, 415 on our page.

3. How to find GCD of 318, 843, 272, 415 on a calculator?

You can find the GCD of 318, 843, 272, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.