GCD of 743, 638, 113, 822 Calculator

Given Input numbers are 743, 638, 113, 822

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

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

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 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 743, 638, 113, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 638, 113, 822 is 1.

Therefore, GCD of numbers 743, 638, 113, 822 is 1

Given Input Data is 743, 638, 113, 822

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

Prime Factorization of 743 is 743

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 113 is 113

Prime Factorization of 822 is 2 x 3 x 137

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(743, 638) = 474034

GCD(743, 638) = ( 743 x 638 ) / 474034

GCD(743, 638) = 474034 / 474034

GCD(743, 638) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 743, 638, 113, 822 is 1

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1. What is the GCD of 743, 638, 113, 822?

GCD of 743, 638, 113, 822 is 1

2. Where do I get the detailed procedure to find GCD of 743, 638, 113, 822?

You can find a detailed procedure to find GCD of 743, 638, 113, 822 on our page.

3. How to find GCD of 743, 638, 113, 822 on a calculator?

You can find the GCD of 743, 638, 113, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.