GCD of 677, 518, 828 Calculator

Given Input numbers are 677, 518, 828

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

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 677, 518, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 518, 828 is 1.

Therefore, GCD of numbers 677, 518, 828 is 1

Given Input Data is 677, 518, 828

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

Prime Factorization of 677 is 677

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 828 is 2 x 2 x 3 x 3 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(677, 518) = 350686

GCD(677, 518) = ( 677 x 518 ) / 350686

GCD(677, 518) = 350686 / 350686

GCD(677, 518) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 677, 518, 828 is 1

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1. What is the GCD of 677, 518, 828?

GCD of 677, 518, 828 is 1

2. Where do I get the detailed procedure to find GCD of 677, 518, 828?

You can find a detailed procedure to find GCD of 677, 518, 828 on our page.

3. How to find GCD of 677, 518, 828 on a calculator?

You can find the GCD of 677, 518, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.