GCD of 738, 731, 966 Calculator

Given Input numbers are 738, 731, 966

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 738, 731, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 731, 966 is 1.

Therefore, GCD of numbers 738, 731, 966 is 1

Given Input Data is 738, 731, 966

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 731 is 17 x 43

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(738, 731) = 539478

GCD(738, 731) = ( 738 x 731 ) / 539478

GCD(738, 731) = 539478 / 539478

GCD(738, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 738, 731, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 636, 585
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1. What is the GCD of 738, 731, 966?

GCD of 738, 731, 966 is 1

2. Where do I get the detailed procedure to find GCD of 738, 731, 966?

You can find a detailed procedure to find GCD of 738, 731, 966 on our page.

3. How to find GCD of 738, 731, 966 on a calculator?

You can find the GCD of 738, 731, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.