GCD of 759, 831, 36, 193 Calculator

Given Input numbers are 759, 831, 36, 193

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Greatest Common Divisior

We found the divisors of 759, 831, 36, 193 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 831, 36, 193 is 1.

Therefore, GCD of numbers 759, 831, 36, 193 is 1

Given Input Data is 759, 831, 36, 193

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 831 is 3 x 277

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 193 is 193

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(759, 831) = 210243

GCD(759, 831) = ( 759 x 831 ) / 210243

GCD(759, 831) = 630729 / 210243

GCD(759, 831) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 193

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

LCM(3, 193) = 579

GCD(3, 193) = ( 3 x 193 ) / 579

GCD(3, 193) = 579 / 579

GCD(3, 193) = 1

GCD of 759, 831, 36, 193 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 865, 387, 77, 740
• GCD of 797, 904, 78, 281
• GCD of 174, 861, 67, 144
• GCD of 867, 195, 70, 936
• GCD of 406, 895, 76, 219

1. What is the GCD of 759, 831, 36, 193?

GCD of 759, 831, 36, 193 is 1

2. Where do I get the detailed procedure to find GCD of 759, 831, 36, 193?

You can find a detailed procedure to find GCD of 759, 831, 36, 193 on our page.

3. How to find GCD of 759, 831, 36, 193 on a calculator?

You can find the GCD of 759, 831, 36, 193 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.