GCD of 666, 314, 43, 729 Calculator

Given Input numbers are 666, 314, 43, 729

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

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Greatest Common Divisior

We found the divisors of 666, 314, 43, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 666, 314, 43, 729 is 1.

Therefore, GCD of numbers 666, 314, 43, 729 is 1

Given Input Data is 666, 314, 43, 729

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

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 314 is 2 x 157

Prime Factorization of 43 is 43

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

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(666, 314) = 104562

GCD(666, 314) = ( 666 x 314 ) / 104562

GCD(666, 314) = 209124 / 104562

GCD(666, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 43

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

LCM(2, 43) = 86

GCD(2, 43) = ( 2 x 43 ) / 86

GCD(2, 43) = 86 / 86

GCD(2, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

GCD of 666, 314, 43, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 783, 67, 835
• GCD of 128, 477, 48, 514
• GCD of 342, 606, 65, 723
• GCD of 441, 256, 60, 595
• GCD of 976, 613, 86, 883

1. What is the GCD of 666, 314, 43, 729?

GCD of 666, 314, 43, 729 is 1

2. Where do I get the detailed procedure to find GCD of 666, 314, 43, 729?

You can find a detailed procedure to find GCD of 666, 314, 43, 729 on our page.

3. How to find GCD of 666, 314, 43, 729 on a calculator?

You can find the GCD of 666, 314, 43, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.