GCD of 426, 713, 22, 744 Calculator

Given Input numbers are 426, 713, 22, 744

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 426, 713, 22, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 713, 22, 744 is 1.

Therefore, GCD of numbers 426, 713, 22, 744 is 1

Given Input Data is 426, 713, 22, 744

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 713 is 23 x 31

Prime Factorization of 22 is 2 x 11

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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(426, 713) = 303738

GCD(426, 713) = ( 426 x 713 ) / 303738

GCD(426, 713) = 303738 / 303738

GCD(426, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 426, 713, 22, 744 is 1

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1. What is the GCD of 426, 713, 22, 744?

GCD of 426, 713, 22, 744 is 1

2. Where do I get the detailed procedure to find GCD of 426, 713, 22, 744?

You can find a detailed procedure to find GCD of 426, 713, 22, 744 on our page.

3. How to find GCD of 426, 713, 22, 744 on a calculator?

You can find the GCD of 426, 713, 22, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.