GCD of 12, 796, 345, 557 Calculator

Given Input numbers are 12, 796, 345, 557

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 796

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

1, 2, 4, 199, 398, 796

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 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Greatest Common Divisior

We found the divisors of 12, 796, 345, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 796, 345, 557 is 1.

Therefore, GCD of numbers 12, 796, 345, 557 is 1

Given Input Data is 12, 796, 345, 557

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 557 is 557

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(12, 796) = 2388

GCD(12, 796) = ( 12 x 796 ) / 2388

GCD(12, 796) = 9552 / 2388

GCD(12, 796) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 345

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

LCM(4, 345) = 1380

GCD(4, 345) = ( 4 x 345 ) / 1380

GCD(4, 345) = 1380 / 1380

GCD(4, 345) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

GCD of 12, 796, 345, 557 is 1

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• GCD of 51, 178, 207, 205
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1. What is the GCD of 12, 796, 345, 557?

GCD of 12, 796, 345, 557 is 1

2. Where do I get the detailed procedure to find GCD of 12, 796, 345, 557?

You can find a detailed procedure to find GCD of 12, 796, 345, 557 on our page.

3. How to find GCD of 12, 796, 345, 557 on a calculator?

You can find the GCD of 12, 796, 345, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.