GCD of 680, 120, 723, 508 Calculator

Given Input numbers are 680, 120, 723, 508

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 723

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

1, 3, 241, 723

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 680, 120, 723, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 120, 723, 508 is 1.

Therefore, GCD of numbers 680, 120, 723, 508 is 1

Given Input Data is 680, 120, 723, 508

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 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 723 is 3 x 241

Prime Factorization of 508 is 2 x 2 x 127

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, 120) = 2040

GCD(680, 120) = ( 680 x 120 ) / 2040

GCD(680, 120) = 81600 / 2040

GCD(680, 120) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 723

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

LCM(40, 723) = 28920

GCD(40, 723) = ( 40 x 723 ) / 28920

GCD(40, 723) = 28920 / 28920

GCD(40, 723) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 680, 120, 723, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 986, 750, 228, 728
• GCD of 794, 243, 203, 279
• GCD of 315, 276, 252, 165
• GCD of 429, 747, 239, 262
• GCD of 244, 344, 448, 543

1. What is the GCD of 680, 120, 723, 508?

GCD of 680, 120, 723, 508 is 1

2. Where do I get the detailed procedure to find GCD of 680, 120, 723, 508?

You can find a detailed procedure to find GCD of 680, 120, 723, 508 on our page.

3. How to find GCD of 680, 120, 723, 508 on a calculator?

You can find the GCD of 680, 120, 723, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.