GCD of 723, 208, 678 Calculator

Given Input numbers are 723, 208, 678

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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 723, 208, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 208, 678 is 1.

Therefore, GCD of numbers 723, 208, 678 is 1

Given Input Data is 723, 208, 678

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(723, 208) = 150384

GCD(723, 208) = ( 723 x 208 ) / 150384

GCD(723, 208) = 150384 / 150384

GCD(723, 208) = 1

Step2:

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 723, 208, 678 is 1

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1. What is the GCD of 723, 208, 678?

GCD of 723, 208, 678 is 1

2. Where do I get the detailed procedure to find GCD of 723, 208, 678?

You can find a detailed procedure to find GCD of 723, 208, 678 on our page.

3. How to find GCD of 723, 208, 678 on a calculator?

You can find the GCD of 723, 208, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.