GCD of 21, 464, 723, 246 Calculator

Given Input numbers are 21, 464, 723, 246

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 723

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

1, 3, 241, 723

Divisors of 246

List of positive integer divisors of 246 that divides 246 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246

Greatest Common Divisior

We found the divisors of 21, 464, 723, 246 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 464, 723, 246 is 1.

Therefore, GCD of numbers 21, 464, 723, 246 is 1

Given Input Data is 21, 464, 723, 246

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 723 is 3 x 241

Prime Factorization of 246 is 2 x 3 x 41

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(21, 464) = 9744

GCD(21, 464) = ( 21 x 464 ) / 9744

GCD(21, 464) = 9744 / 9744

GCD(21, 464) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 246

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

LCM(1, 246) = 246

GCD(1, 246) = ( 1 x 246 ) / 246

GCD(1, 246) = 246 / 246

GCD(1, 246) = 1

GCD of 21, 464, 723, 246 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 501, 344, 800
• GCD of 41, 449, 687, 989
• GCD of 62, 672, 726, 102
• GCD of 48, 596, 854, 788
• GCD of 50, 511, 578, 167

1. What is the GCD of 21, 464, 723, 246?

GCD of 21, 464, 723, 246 is 1

2. Where do I get the detailed procedure to find GCD of 21, 464, 723, 246?

You can find a detailed procedure to find GCD of 21, 464, 723, 246 on our page.

3. How to find GCD of 21, 464, 723, 246 on a calculator?

You can find the GCD of 21, 464, 723, 246 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.