GCD of 680, 827, 667 Calculator

Given Input numbers are 680, 827, 667

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 680, 827, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 827, 667 is 1.

Therefore, GCD of numbers 680, 827, 667 is 1

Given Input Data is 680, 827, 667

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 827 is 827

Prime Factorization of 667 is 23 x 29

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(680, 827) = 562360

GCD(680, 827) = ( 680 x 827 ) / 562360

GCD(680, 827) = 562360 / 562360

GCD(680, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 667

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

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

GCD(1, 667) = 667 / 667

GCD(1, 667) = 1

GCD of 680, 827, 667 is 1

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1. What is the GCD of 680, 827, 667?

GCD of 680, 827, 667 is 1

2. Where do I get the detailed procedure to find GCD of 680, 827, 667?

You can find a detailed procedure to find GCD of 680, 827, 667 on our page.

3. How to find GCD of 680, 827, 667 on a calculator?

You can find the GCD of 680, 827, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.