GCD of 115, 678, 823 Calculator

Given Input numbers are 115, 678, 823

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 678

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

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

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 115, 678, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 678, 823 is 1.

Therefore, GCD of numbers 115, 678, 823 is 1

Given Input Data is 115, 678, 823

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 823 is 823

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(115, 678) = 77970

GCD(115, 678) = ( 115 x 678 ) / 77970

GCD(115, 678) = 77970 / 77970

GCD(115, 678) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 115, 678, 823 is 1

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• GCD of 592, 832, 869
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1. What is the GCD of 115, 678, 823?

GCD of 115, 678, 823 is 1

2. Where do I get the detailed procedure to find GCD of 115, 678, 823?

You can find a detailed procedure to find GCD of 115, 678, 823 on our page.

3. How to find GCD of 115, 678, 823 on a calculator?

You can find the GCD of 115, 678, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.