GCD of 165, 785, 787, 728 Calculator

Given Input numbers are 165, 785, 787, 728

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 165, 785, 787, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 785, 787, 728 is 1.

Therefore, GCD of numbers 165, 785, 787, 728 is 1

Given Input Data is 165, 785, 787, 728

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 785 is 5 x 157

Prime Factorization of 787 is 787

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(165, 785) = 25905

GCD(165, 785) = ( 165 x 785 ) / 25905

GCD(165, 785) = 129525 / 25905

GCD(165, 785) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 787

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

LCM(5, 787) = 3935

GCD(5, 787) = ( 5 x 787 ) / 3935

GCD(5, 787) = 3935 / 3935

GCD(5, 787) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 165, 785, 787, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 521, 366, 110
• GCD of 382, 581, 686, 753
• GCD of 489, 222, 995, 846
• GCD of 800, 739, 300, 441
• GCD of 524, 305, 576, 697

1. What is the GCD of 165, 785, 787, 728?

GCD of 165, 785, 787, 728 is 1

2. Where do I get the detailed procedure to find GCD of 165, 785, 787, 728?

You can find a detailed procedure to find GCD of 165, 785, 787, 728 on our page.

3. How to find GCD of 165, 785, 787, 728 on a calculator?

You can find the GCD of 165, 785, 787, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.