GCD of 765, 640, 327, 465 Calculator

Given Input numbers are 765, 640, 327, 465

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 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 765, 640, 327, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 640, 327, 465 is 1.

Therefore, GCD of numbers 765, 640, 327, 465 is 1

Given Input Data is 765, 640, 327, 465

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 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 327 is 3 x 109

Prime Factorization of 465 is 3 x 5 x 31

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, 640) = 97920

GCD(765, 640) = ( 765 x 640 ) / 97920

GCD(765, 640) = 489600 / 97920

GCD(765, 640) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 327

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

LCM(5, 327) = 1635

GCD(5, 327) = ( 5 x 327 ) / 1635

GCD(5, 327) = 1635 / 1635

GCD(5, 327) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

GCD of 765, 640, 327, 465 is 1

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1. What is the GCD of 765, 640, 327, 465?

GCD of 765, 640, 327, 465 is 1

2. Where do I get the detailed procedure to find GCD of 765, 640, 327, 465?

You can find a detailed procedure to find GCD of 765, 640, 327, 465 on our page.

3. How to find GCD of 765, 640, 327, 465 on a calculator?

You can find the GCD of 765, 640, 327, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.