GCD of 765, 952, 13, 765 Calculator

Given Input numbers are 765, 952, 13, 765

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 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

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 765, 952, 13, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 952, 13, 765 is 1.

Therefore, GCD of numbers 765, 952, 13, 765 is 1

Given Input Data is 765, 952, 13, 765

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 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 13 is 13

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(765, 952) = 42840

GCD(765, 952) = ( 765 x 952 ) / 42840

GCD(765, 952) = 728280 / 42840

GCD(765, 952) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 13

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

LCM(17, 13) = 221

GCD(17, 13) = ( 17 x 13 ) / 221

GCD(17, 13) = 221 / 221

GCD(17, 13) = 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 765, 952, 13, 765 is 1

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1. What is the GCD of 765, 952, 13, 765?

GCD of 765, 952, 13, 765 is 1

2. Where do I get the detailed procedure to find GCD of 765, 952, 13, 765?

You can find a detailed procedure to find GCD of 765, 952, 13, 765 on our page.

3. How to find GCD of 765, 952, 13, 765 on a calculator?

You can find the GCD of 765, 952, 13, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.