GCD of 556, 793, 80, 345 Calculator

Given Input numbers are 556, 793, 80, 345

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

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

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 556, 793, 80, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 793, 80, 345 is 1.

Therefore, GCD of numbers 556, 793, 80, 345 is 1

Given Input Data is 556, 793, 80, 345

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

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 793 is 13 x 61

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

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(556, 793) = 440908

GCD(556, 793) = ( 556 x 793 ) / 440908

GCD(556, 793) = 440908 / 440908

GCD(556, 793) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 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 556, 793, 80, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 862, 83, 314
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• GCD of 501, 266, 26, 256

1. What is the GCD of 556, 793, 80, 345?

GCD of 556, 793, 80, 345 is 1

2. Where do I get the detailed procedure to find GCD of 556, 793, 80, 345?

You can find a detailed procedure to find GCD of 556, 793, 80, 345 on our page.

3. How to find GCD of 556, 793, 80, 345 on a calculator?

You can find the GCD of 556, 793, 80, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.