GCD of 819, 131, 457, 678 Calculator

Given Input numbers are 819, 131, 457, 678

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

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 819, 131, 457, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 131, 457, 678 is 1.

Therefore, GCD of numbers 819, 131, 457, 678 is 1

Given Input Data is 819, 131, 457, 678

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 131 is 131

Prime Factorization of 457 is 457

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(819, 131) = 107289

GCD(819, 131) = ( 819 x 131 ) / 107289

GCD(819, 131) = 107289 / 107289

GCD(819, 131) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 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 819, 131, 457, 678 is 1

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1. What is the GCD of 819, 131, 457, 678?

GCD of 819, 131, 457, 678 is 1

2. Where do I get the detailed procedure to find GCD of 819, 131, 457, 678?

You can find a detailed procedure to find GCD of 819, 131, 457, 678 on our page.

3. How to find GCD of 819, 131, 457, 678 on a calculator?

You can find the GCD of 819, 131, 457, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.