GCD of 542, 726, 789 Calculator

Given Input numbers are 542, 726, 789

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

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 542, 726, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 726, 789 is 1.

Therefore, GCD of numbers 542, 726, 789 is 1

Given Input Data is 542, 726, 789

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 789 is 3 x 263

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(542, 726) = 196746

GCD(542, 726) = ( 542 x 726 ) / 196746

GCD(542, 726) = 393492 / 196746

GCD(542, 726) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 789

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

LCM(2, 789) = 1578

GCD(2, 789) = ( 2 x 789 ) / 1578

GCD(2, 789) = 1578 / 1578

GCD(2, 789) = 1

GCD of 542, 726, 789 is 1

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1. What is the GCD of 542, 726, 789?

GCD of 542, 726, 789 is 1

2. Where do I get the detailed procedure to find GCD of 542, 726, 789?

You can find a detailed procedure to find GCD of 542, 726, 789 on our page.

3. How to find GCD of 542, 726, 789 on a calculator?

You can find the GCD of 542, 726, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.