GCD of 765, 873, 53, 269 Calculator

Given Input numbers are 765, 873, 53, 269

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

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

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 765, 873, 53, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 873, 53, 269 is 1.

Therefore, GCD of numbers 765, 873, 53, 269 is 1

Given Input Data is 765, 873, 53, 269

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

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

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 53 is 53

Prime Factorization of 269 is 269

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(765, 873) = 74205

GCD(765, 873) = ( 765 x 873 ) / 74205

GCD(765, 873) = 667845 / 74205

GCD(765, 873) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 53

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

LCM(9, 53) = 477

GCD(9, 53) = ( 9 x 53 ) / 477

GCD(9, 53) = 477 / 477

GCD(9, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 765, 873, 53, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 110, 57, 229
• GCD of 382, 391, 95, 561
• GCD of 465, 254, 14, 251
• GCD of 802, 414, 53, 319
• GCD of 151, 247, 19, 743

1. What is the GCD of 765, 873, 53, 269?

GCD of 765, 873, 53, 269 is 1

2. Where do I get the detailed procedure to find GCD of 765, 873, 53, 269?

You can find a detailed procedure to find GCD of 765, 873, 53, 269 on our page.

3. How to find GCD of 765, 873, 53, 269 on a calculator?

You can find the GCD of 765, 873, 53, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.