GCD of 24, 723, 668, 755 Calculator

Given Input numbers are 24, 723, 668, 755

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 723

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

1, 3, 241, 723

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 24, 723, 668, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 723, 668, 755 is 1.

Therefore, GCD of numbers 24, 723, 668, 755 is 1

Given Input Data is 24, 723, 668, 755

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 723 is 3 x 241

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 755 is 5 x 151

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(24, 723) = 5784

GCD(24, 723) = ( 24 x 723 ) / 5784

GCD(24, 723) = 17352 / 5784

GCD(24, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 668

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

LCM(3, 668) = 2004

GCD(3, 668) = ( 3 x 668 ) / 2004

GCD(3, 668) = 2004 / 2004

GCD(3, 668) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 24, 723, 668, 755 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 770, 460, 933
• GCD of 84, 655, 544, 832
• GCD of 11, 369, 523, 957
• GCD of 84, 984, 505, 909
• GCD of 41, 900, 606, 379

1. What is the GCD of 24, 723, 668, 755?

GCD of 24, 723, 668, 755 is 1

2. Where do I get the detailed procedure to find GCD of 24, 723, 668, 755?

You can find a detailed procedure to find GCD of 24, 723, 668, 755 on our page.

3. How to find GCD of 24, 723, 668, 755 on a calculator?

You can find the GCD of 24, 723, 668, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.