GCD of 765, 169, 52, 234 Calculator

Given Input numbers are 765, 169, 52, 234

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 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 765, 169, 52, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 169, 52, 234 is 1.

Therefore, GCD of numbers 765, 169, 52, 234 is 1

Given Input Data is 765, 169, 52, 234

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 169 is 13 x 13

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 234 is 2 x 3 x 3 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(765, 169) = 129285

GCD(765, 169) = ( 765 x 169 ) / 129285

GCD(765, 169) = 129285 / 129285

GCD(765, 169) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

GCD of 765, 169, 52, 234 is 1

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• GCD of 520, 659, 75, 393
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1. What is the GCD of 765, 169, 52, 234?

GCD of 765, 169, 52, 234 is 1

2. Where do I get the detailed procedure to find GCD of 765, 169, 52, 234?

You can find a detailed procedure to find GCD of 765, 169, 52, 234 on our page.

3. How to find GCD of 765, 169, 52, 234 on a calculator?

You can find the GCD of 765, 169, 52, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.