GCD of 726, 930, 82, 111 Calculator

Given Input numbers are 726, 930, 82, 111

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 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 726, 930, 82, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 930, 82, 111 is 1.

Therefore, GCD of numbers 726, 930, 82, 111 is 1

Given Input Data is 726, 930, 82, 111

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 930 is 2 x 3 x 5 x 31

Prime Factorization of 82 is 2 x 41

Prime Factorization of 111 is 3 x 37

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, 930) = 112530

GCD(726, 930) = ( 726 x 930 ) / 112530

GCD(726, 930) = 675180 / 112530

GCD(726, 930) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 82

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

LCM(6, 82) = 246

GCD(6, 82) = ( 6 x 82 ) / 246

GCD(6, 82) = 492 / 246

GCD(6, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 111

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

LCM(2, 111) = 222

GCD(2, 111) = ( 2 x 111 ) / 222

GCD(2, 111) = 222 / 222

GCD(2, 111) = 1

GCD of 726, 930, 82, 111 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 768, 40, 570
• GCD of 510, 675, 91, 959
• GCD of 682, 502, 15, 899
• GCD of 602, 195, 85, 679
• GCD of 607, 315, 60, 975

1. What is the GCD of 726, 930, 82, 111?

GCD of 726, 930, 82, 111 is 1

2. Where do I get the detailed procedure to find GCD of 726, 930, 82, 111?

You can find a detailed procedure to find GCD of 726, 930, 82, 111 on our page.

3. How to find GCD of 726, 930, 82, 111 on a calculator?

You can find the GCD of 726, 930, 82, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.