GCD of 627, 288, 782 Calculator

Given Input numbers are 627, 288, 782

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

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 627, 288, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 288, 782 is 1.

Therefore, GCD of numbers 627, 288, 782 is 1

Given Input Data is 627, 288, 782

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

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 782 is 2 x 17 x 23

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(627, 288) = 60192

GCD(627, 288) = ( 627 x 288 ) / 60192

GCD(627, 288) = 180576 / 60192

GCD(627, 288) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 782

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

LCM(3, 782) = 2346

GCD(3, 782) = ( 3 x 782 ) / 2346

GCD(3, 782) = 2346 / 2346

GCD(3, 782) = 1

GCD of 627, 288, 782 is 1

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1. What is the GCD of 627, 288, 782?

GCD of 627, 288, 782 is 1

2. Where do I get the detailed procedure to find GCD of 627, 288, 782?

You can find a detailed procedure to find GCD of 627, 288, 782 on our page.

3. How to find GCD of 627, 288, 782 on a calculator?

You can find the GCD of 627, 288, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.