GCD of 708, 345, 122, 796 Calculator

Given Input numbers are 708, 345, 122, 796

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

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 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 708, 345, 122, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 345, 122, 796 is 1.

Therefore, GCD of numbers 708, 345, 122, 796 is 1

Given Input Data is 708, 345, 122, 796

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

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 122 is 2 x 61

Prime Factorization of 796 is 2 x 2 x 199

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(708, 345) = 81420

GCD(708, 345) = ( 708 x 345 ) / 81420

GCD(708, 345) = 244260 / 81420

GCD(708, 345) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 122

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

LCM(3, 122) = 366

GCD(3, 122) = ( 3 x 122 ) / 366

GCD(3, 122) = 366 / 366

GCD(3, 122) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

GCD of 708, 345, 122, 796 is 1

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1. What is the GCD of 708, 345, 122, 796?

GCD of 708, 345, 122, 796 is 1

2. Where do I get the detailed procedure to find GCD of 708, 345, 122, 796?

You can find a detailed procedure to find GCD of 708, 345, 122, 796 on our page.

3. How to find GCD of 708, 345, 122, 796 on a calculator?

You can find the GCD of 708, 345, 122, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.