GCD of 270, 453, 71, 150 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 270, 453, 71, 150 i.e. 1 largest integer that divides all the numbers equally.

GCD of 270, 453, 71, 150 is 1

GCD(270, 453, 71, 150) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 270, 453, 71, 150 is 1

GCD(270, 453, 71, 150) = 1

GCD of 270,453,71,150 Calculator

GCDof 270,453,71,150 is 1

Given Input numbers are 270, 453, 71, 150

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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 270, 453, 71, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 453, 71, 150 is 1.

Therefore, GCD of numbers 270, 453, 71, 150 is 1

Finding GCD of 270, 453, 71, 150 using Prime Factorization

Given Input Data is 270, 453, 71, 150

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 453 is 3 x 151

Prime Factorization of 71 is 71

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

Finding GCD of 270, 453, 71, 150 using LCM Formula

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(270, 453) = 40770

GCD(270, 453) = ( 270 x 453 ) / 40770

GCD(270, 453) = 122310 / 40770

GCD(270, 453) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 71

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

LCM(3, 71) = 213

GCD(3, 71) = ( 3 x 71 ) / 213

GCD(3, 71) = 213 / 213

GCD(3, 71) = 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 270, 453, 71, 150 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 270, 453, 71, 150

1. What is the GCD of 270, 453, 71, 150?

GCD of 270, 453, 71, 150 is 1


2. Where do I get the detailed procedure to find GCD of 270, 453, 71, 150?

You can find a detailed procedure to find GCD of 270, 453, 71, 150 on our page.


3. How to find GCD of 270, 453, 71, 150 on a calculator?

You can find the GCD of 270, 453, 71, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.