GCD of 765, 363, 305, 757 Calculator

Given Input numbers are 765, 363, 305, 757

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 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 765, 363, 305, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 363, 305, 757 is 1.

Therefore, GCD of numbers 765, 363, 305, 757 is 1

Given Input Data is 765, 363, 305, 757

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 363 is 3 x 11 x 11

Prime Factorization of 305 is 5 x 61

Prime Factorization of 757 is 757

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, 363) = 92565

GCD(765, 363) = ( 765 x 363 ) / 92565

GCD(765, 363) = 277695 / 92565

GCD(765, 363) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 305

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

LCM(3, 305) = 915

GCD(3, 305) = ( 3 x 305 ) / 915

GCD(3, 305) = 915 / 915

GCD(3, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 757

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

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

GCD(1, 757) = 757 / 757

GCD(1, 757) = 1

GCD of 765, 363, 305, 757 is 1

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1. What is the GCD of 765, 363, 305, 757?

GCD of 765, 363, 305, 757 is 1

2. Where do I get the detailed procedure to find GCD of 765, 363, 305, 757?

You can find a detailed procedure to find GCD of 765, 363, 305, 757 on our page.

3. How to find GCD of 765, 363, 305, 757 on a calculator?

You can find the GCD of 765, 363, 305, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.