GCD of 706, 144, 817 Calculator

Given Input numbers are 706, 144, 817

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

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

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Greatest Common Divisior

We found the divisors of 706, 144, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 144, 817 is 1.

Therefore, GCD of numbers 706, 144, 817 is 1

Given Input Data is 706, 144, 817

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 817 is 19 x 43

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(706, 144) = 50832

GCD(706, 144) = ( 706 x 144 ) / 50832

GCD(706, 144) = 101664 / 50832

GCD(706, 144) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 817

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

LCM(2, 817) = 1634

GCD(2, 817) = ( 2 x 817 ) / 1634

GCD(2, 817) = 1634 / 1634

GCD(2, 817) = 1

GCD of 706, 144, 817 is 1

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1. What is the GCD of 706, 144, 817?

GCD of 706, 144, 817 is 1

2. Where do I get the detailed procedure to find GCD of 706, 144, 817?

You can find a detailed procedure to find GCD of 706, 144, 817 on our page.

3. How to find GCD of 706, 144, 817 on a calculator?

You can find the GCD of 706, 144, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.