GCD of 765, 928, 19, 171 Calculator

Given Input numbers are 765, 928, 19, 171

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 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 765, 928, 19, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 928, 19, 171 is 1.

Therefore, GCD of numbers 765, 928, 19, 171 is 1

Given Input Data is 765, 928, 19, 171

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 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 19 is 19

Prime Factorization of 171 is 3 x 3 x 19

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, 928) = 709920

GCD(765, 928) = ( 765 x 928 ) / 709920

GCD(765, 928) = 709920 / 709920

GCD(765, 928) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 765, 928, 19, 171 is 1

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• GCD of 602, 567, 10, 933
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1. What is the GCD of 765, 928, 19, 171?

GCD of 765, 928, 19, 171 is 1

2. Where do I get the detailed procedure to find GCD of 765, 928, 19, 171?

You can find a detailed procedure to find GCD of 765, 928, 19, 171 on our page.

3. How to find GCD of 765, 928, 19, 171 on a calculator?

You can find the GCD of 765, 928, 19, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.