GCD of 18, 738, 991, 765 Calculator

Given Input numbers are 18, 738, 991, 765

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 18, 738, 991, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 738, 991, 765 is 1.

Therefore, GCD of numbers 18, 738, 991, 765 is 1

Given Input Data is 18, 738, 991, 765

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

Prime Factorization of 18 is 2 x 3 x 3

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

Prime Factorization of 991 is 991

Prime Factorization of 765 is 3 x 3 x 5 x 17

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(18, 738) = 738

GCD(18, 738) = ( 18 x 738 ) / 738

GCD(18, 738) = 13284 / 738

GCD(18, 738) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 991

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

LCM(18, 991) = 17838

GCD(18, 991) = ( 18 x 991 ) / 17838

GCD(18, 991) = 17838 / 17838

GCD(18, 991) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

GCD of 18, 738, 991, 765 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 191, 539, 431
• GCD of 90, 142, 224, 721
• GCD of 57, 226, 562, 853
• GCD of 47, 868, 186, 717
• GCD of 64, 479, 791, 231

1. What is the GCD of 18, 738, 991, 765?

GCD of 18, 738, 991, 765 is 1

2. Where do I get the detailed procedure to find GCD of 18, 738, 991, 765?

You can find a detailed procedure to find GCD of 18, 738, 991, 765 on our page.

3. How to find GCD of 18, 738, 991, 765 on a calculator?

You can find the GCD of 18, 738, 991, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.