GCD of 717, 321, 708, 119 Calculator

Given Input numbers are 717, 321, 708, 119

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

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 717, 321, 708, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 321, 708, 119 is 1.

Therefore, GCD of numbers 717, 321, 708, 119 is 1

Given Input Data is 717, 321, 708, 119

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 321 is 3 x 107

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 119 is 7 x 17

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(717, 321) = 76719

GCD(717, 321) = ( 717 x 321 ) / 76719

GCD(717, 321) = 230157 / 76719

GCD(717, 321) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 708

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

LCM(3, 708) = 708

GCD(3, 708) = ( 3 x 708 ) / 708

GCD(3, 708) = 2124 / 708

GCD(3, 708) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 119

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

LCM(3, 119) = 357

GCD(3, 119) = ( 3 x 119 ) / 357

GCD(3, 119) = 357 / 357

GCD(3, 119) = 1

GCD of 717, 321, 708, 119 is 1

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1. What is the GCD of 717, 321, 708, 119?

GCD of 717, 321, 708, 119 is 1

2. Where do I get the detailed procedure to find GCD of 717, 321, 708, 119?

You can find a detailed procedure to find GCD of 717, 321, 708, 119 on our page.

3. How to find GCD of 717, 321, 708, 119 on a calculator?

You can find the GCD of 717, 321, 708, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.