GCD of 744, 626, 558, 745 Calculator

Given Input numbers are 744, 626, 558, 745

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

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

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 744, 626, 558, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 626, 558, 745 is 1.

Therefore, GCD of numbers 744, 626, 558, 745 is 1

Given Input Data is 744, 626, 558, 745

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

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

Prime Factorization of 626 is 2 x 313

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 745 is 5 x 149

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(744, 626) = 232872

GCD(744, 626) = ( 744 x 626 ) / 232872

GCD(744, 626) = 465744 / 232872

GCD(744, 626) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 558

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

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

GCD(2, 558) = 1116 / 558

GCD(2, 558) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 745

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

LCM(2, 745) = 1490

GCD(2, 745) = ( 2 x 745 ) / 1490

GCD(2, 745) = 1490 / 1490

GCD(2, 745) = 1

GCD of 744, 626, 558, 745 is 1

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1. What is the GCD of 744, 626, 558, 745?

GCD of 744, 626, 558, 745 is 1

2. Where do I get the detailed procedure to find GCD of 744, 626, 558, 745?

You can find a detailed procedure to find GCD of 744, 626, 558, 745 on our page.

3. How to find GCD of 744, 626, 558, 745 on a calculator?

You can find the GCD of 744, 626, 558, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.