GCD of 679, 796, 563, 345 Calculator

Given Input numbers are 679, 796, 563, 345

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

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 796

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

1, 2, 4, 199, 398, 796

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 345

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

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

Greatest Common Divisior

We found the divisors of 679, 796, 563, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 679, 796, 563, 345 is 1.

Therefore, GCD of numbers 679, 796, 563, 345 is 1

Given Input Data is 679, 796, 563, 345

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

Prime Factorization of 679 is 7 x 97

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 563 is 563

Prime Factorization of 345 is 3 x 5 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(679, 796) = 540484

GCD(679, 796) = ( 679 x 796 ) / 540484

GCD(679, 796) = 540484 / 540484

GCD(679, 796) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 679, 796, 563, 345 is 1

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1. What is the GCD of 679, 796, 563, 345?

GCD of 679, 796, 563, 345 is 1

2. Where do I get the detailed procedure to find GCD of 679, 796, 563, 345?

You can find a detailed procedure to find GCD of 679, 796, 563, 345 on our page.

3. How to find GCD of 679, 796, 563, 345 on a calculator?

You can find the GCD of 679, 796, 563, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.