GCD of 605, 150, 645, 273 Calculator

Given Input numbers are 605, 150, 645, 273

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

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

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

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 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 605, 150, 645, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 605, 150, 645, 273 is 1.

Therefore, GCD of numbers 605, 150, 645, 273 is 1

Given Input Data is 605, 150, 645, 273

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

Prime Factorization of 605 is 5 x 11 x 11

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

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 273 is 3 x 7 x 13

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(605, 150) = 18150

GCD(605, 150) = ( 605 x 150 ) / 18150

GCD(605, 150) = 90750 / 18150

GCD(605, 150) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 645

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

LCM(5, 645) = 645

GCD(5, 645) = ( 5 x 645 ) / 645

GCD(5, 645) = 3225 / 645

GCD(5, 645) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 273

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

LCM(5, 273) = 1365

GCD(5, 273) = ( 5 x 273 ) / 1365

GCD(5, 273) = 1365 / 1365

GCD(5, 273) = 1

GCD of 605, 150, 645, 273 is 1

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1. What is the GCD of 605, 150, 645, 273?

GCD of 605, 150, 645, 273 is 1

2. Where do I get the detailed procedure to find GCD of 605, 150, 645, 273?

You can find a detailed procedure to find GCD of 605, 150, 645, 273 on our page.

3. How to find GCD of 605, 150, 645, 273 on a calculator?

You can find the GCD of 605, 150, 645, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.