GCD of 726, 222, 789, 751 Calculator

Given Input numbers are 726, 222, 789, 751

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

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 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 789

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

1, 3, 263, 789

Divisors of 751

List of positive integer divisors of 751 that divides 751 without a remainder.

1, 751

Greatest Common Divisior

We found the divisors of 726, 222, 789, 751 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 222, 789, 751 is 1.

Therefore, GCD of numbers 726, 222, 789, 751 is 1

Given Input Data is 726, 222, 789, 751

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

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

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 789 is 3 x 263

Prime Factorization of 751 is 751

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(726, 222) = 26862

GCD(726, 222) = ( 726 x 222 ) / 26862

GCD(726, 222) = 161172 / 26862

GCD(726, 222) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 789

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

LCM(6, 789) = 1578

GCD(6, 789) = ( 6 x 789 ) / 1578

GCD(6, 789) = 4734 / 1578

GCD(6, 789) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 751

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

LCM(3, 751) = 2253

GCD(3, 751) = ( 3 x 751 ) / 2253

GCD(3, 751) = 2253 / 2253

GCD(3, 751) = 1

GCD of 726, 222, 789, 751 is 1

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1. What is the GCD of 726, 222, 789, 751?

GCD of 726, 222, 789, 751 is 1

2. Where do I get the detailed procedure to find GCD of 726, 222, 789, 751?

You can find a detailed procedure to find GCD of 726, 222, 789, 751 on our page.

3. How to find GCD of 726, 222, 789, 751 on a calculator?

You can find the GCD of 726, 222, 789, 751 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.