GCD of 638, 262, 723 Calculator

Given Input numbers are 638, 262, 723

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 723

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

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 638, 262, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 262, 723 is 1.

Therefore, GCD of numbers 638, 262, 723 is 1

Given Input Data is 638, 262, 723

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 262 is 2 x 131

Prime Factorization of 723 is 3 x 241

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(638, 262) = 83578

GCD(638, 262) = ( 638 x 262 ) / 83578

GCD(638, 262) = 167156 / 83578

GCD(638, 262) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 723

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

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

GCD(2, 723) = 1446 / 1446

GCD(2, 723) = 1

GCD of 638, 262, 723 is 1

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1. What is the GCD of 638, 262, 723?

GCD of 638, 262, 723 is 1

2. Where do I get the detailed procedure to find GCD of 638, 262, 723?

You can find a detailed procedure to find GCD of 638, 262, 723 on our page.

3. How to find GCD of 638, 262, 723 on a calculator?

You can find the GCD of 638, 262, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.