GCD of 108, 933, 10, 731 Calculator

Given Input numbers are 108, 933, 10, 731

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 731

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

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 108, 933, 10, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 933, 10, 731 is 1.

Therefore, GCD of numbers 108, 933, 10, 731 is 1

Given Input Data is 108, 933, 10, 731

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 933 is 3 x 311

Prime Factorization of 10 is 2 x 5

Prime Factorization of 731 is 17 x 43

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(108, 933) = 33588

GCD(108, 933) = ( 108 x 933 ) / 33588

GCD(108, 933) = 100764 / 33588

GCD(108, 933) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 10

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

LCM(3, 10) = 30

GCD(3, 10) = ( 3 x 10 ) / 30

GCD(3, 10) = 30 / 30

GCD(3, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

GCD of 108, 933, 10, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 317, 69, 522
• GCD of 308, 322, 14, 540
• GCD of 418, 535, 56, 308
• GCD of 717, 382, 78, 453
• GCD of 427, 648, 77, 828

1. What is the GCD of 108, 933, 10, 731?

GCD of 108, 933, 10, 731 is 1

2. Where do I get the detailed procedure to find GCD of 108, 933, 10, 731?

You can find a detailed procedure to find GCD of 108, 933, 10, 731 on our page.

3. How to find GCD of 108, 933, 10, 731 on a calculator?

You can find the GCD of 108, 933, 10, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.