GCD of 643, 814, 41, 723 Calculator

Given Input numbers are 643, 814, 41, 723

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

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

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 643, 814, 41, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 814, 41, 723 is 1.

Therefore, GCD of numbers 643, 814, 41, 723 is 1

Given Input Data is 643, 814, 41, 723

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

Prime Factorization of 643 is 643

Prime Factorization of 814 is 2 x 11 x 37

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(643, 814) = 523402

GCD(643, 814) = ( 643 x 814 ) / 523402

GCD(643, 814) = 523402 / 523402

GCD(643, 814) = 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 643, 814, 41, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 803, 70, 341
• GCD of 617, 452, 41, 672
• GCD of 202, 898, 68, 108
• GCD of 128, 472, 63, 894
• GCD of 136, 211, 50, 352

1. What is the GCD of 643, 814, 41, 723?

GCD of 643, 814, 41, 723 is 1

2. Where do I get the detailed procedure to find GCD of 643, 814, 41, 723?

You can find a detailed procedure to find GCD of 643, 814, 41, 723 on our page.

3. How to find GCD of 643, 814, 41, 723 on a calculator?

You can find the GCD of 643, 814, 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.