GCD of 272, 513, 846, 586 Calculator

Given Input numbers are 272, 513, 846, 586

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 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 272, 513, 846, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 513, 846, 586 is 1.

Therefore, GCD of numbers 272, 513, 846, 586 is 1

Given Input Data is 272, 513, 846, 586

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 513 is 3 x 3 x 3 x 19

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 586 is 2 x 293

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, 513) = 139536

GCD(272, 513) = ( 272 x 513 ) / 139536

GCD(272, 513) = 139536 / 139536

GCD(272, 513) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 846

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

LCM(1, 846) = 846

GCD(1, 846) = ( 1 x 846 ) / 846

GCD(1, 846) = 846 / 846

GCD(1, 846) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 272, 513, 846, 586 is 1

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1. What is the GCD of 272, 513, 846, 586?

GCD of 272, 513, 846, 586 is 1

2. Where do I get the detailed procedure to find GCD of 272, 513, 846, 586?

You can find a detailed procedure to find GCD of 272, 513, 846, 586 on our page.

3. How to find GCD of 272, 513, 846, 586 on a calculator?

You can find the GCD of 272, 513, 846, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.