GCD of 654, 413, 41, 723 Calculator

Given Input numbers are 654, 413, 41, 723

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

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 654, 413, 41, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 413, 41, 723 is 1.

Therefore, GCD of numbers 654, 413, 41, 723 is 1

Given Input Data is 654, 413, 41, 723

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 413 is 7 x 59

Prime Factorization of 41 is 41

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(654, 413) = 270102

GCD(654, 413) = ( 654 x 413 ) / 270102

GCD(654, 413) = 270102 / 270102

GCD(654, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

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

GCD of 654, 413, 41, 723 is 1

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• GCD of 568, 232, 76, 304
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1. What is the GCD of 654, 413, 41, 723?

GCD of 654, 413, 41, 723 is 1

2. Where do I get the detailed procedure to find GCD of 654, 413, 41, 723?

You can find a detailed procedure to find GCD of 654, 413, 41, 723 on our page.

3. How to find GCD of 654, 413, 41, 723 on a calculator?

You can find the GCD of 654, 413, 41, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.