GCD of 765, 300, 721, 150 Calculator

Given Input numbers are 765, 300, 721, 150

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 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 765, 300, 721, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 300, 721, 150 is 1.

Therefore, GCD of numbers 765, 300, 721, 150 is 1

Given Input Data is 765, 300, 721, 150

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 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 721 is 7 x 103

Prime Factorization of 150 is 2 x 3 x 5 x 5

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, 300) = 15300

GCD(765, 300) = ( 765 x 300 ) / 15300

GCD(765, 300) = 229500 / 15300

GCD(765, 300) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 721

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

LCM(15, 721) = 10815

GCD(15, 721) = ( 15 x 721 ) / 10815

GCD(15, 721) = 10815 / 10815

GCD(15, 721) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

GCD of 765, 300, 721, 150 is 1

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1. What is the GCD of 765, 300, 721, 150?

GCD of 765, 300, 721, 150 is 1

2. Where do I get the detailed procedure to find GCD of 765, 300, 721, 150?

You can find a detailed procedure to find GCD of 765, 300, 721, 150 on our page.

3. How to find GCD of 765, 300, 721, 150 on a calculator?

You can find the GCD of 765, 300, 721, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.