GCD of 645, 495, 37, 721 Calculator

Given Input numbers are 645, 495, 37, 721

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 721

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

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 645, 495, 37, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 495, 37, 721 is 1.

Therefore, GCD of numbers 645, 495, 37, 721 is 1

Given Input Data is 645, 495, 37, 721

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 37 is 37

Prime Factorization of 721 is 7 x 103

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(645, 495) = 21285

GCD(645, 495) = ( 645 x 495 ) / 21285

GCD(645, 495) = 319275 / 21285

GCD(645, 495) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 37

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

LCM(15, 37) = 555

GCD(15, 37) = ( 15 x 37 ) / 555

GCD(15, 37) = 555 / 555

GCD(15, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 645, 495, 37, 721 is 1

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1. What is the GCD of 645, 495, 37, 721?

GCD of 645, 495, 37, 721 is 1

2. Where do I get the detailed procedure to find GCD of 645, 495, 37, 721?

You can find a detailed procedure to find GCD of 645, 495, 37, 721 on our page.

3. How to find GCD of 645, 495, 37, 721 on a calculator?

You can find the GCD of 645, 495, 37, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.