GCD of 796, 561, 491, 678 Calculator

Given Input numbers are 796, 561, 491, 678

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

Divisors of 796

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

1, 2, 4, 199, 398, 796

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 796, 561, 491, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 561, 491, 678 is 1.

Therefore, GCD of numbers 796, 561, 491, 678 is 1

Given Input Data is 796, 561, 491, 678

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 491 is 491

Prime Factorization of 678 is 2 x 3 x 113

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(796, 561) = 446556

GCD(796, 561) = ( 796 x 561 ) / 446556

GCD(796, 561) = 446556 / 446556

GCD(796, 561) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 796, 561, 491, 678 is 1

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1. What is the GCD of 796, 561, 491, 678?

GCD of 796, 561, 491, 678 is 1

2. Where do I get the detailed procedure to find GCD of 796, 561, 491, 678?

You can find a detailed procedure to find GCD of 796, 561, 491, 678 on our page.

3. How to find GCD of 796, 561, 491, 678 on a calculator?

You can find the GCD of 796, 561, 491, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.