GCD of 135, 267, 32, 467 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 135, 267, 32, 467 i.e. 1 largest integer that divides all the numbers equally.

GCD of 135, 267, 32, 467 is 1

GCD(135, 267, 32, 467) = 1

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

GCD of

GCD of numbers 135, 267, 32, 467 is 1

GCD(135, 267, 32, 467) = 1

GCD of 135,267,32,467 Calculator

GCDof 135,267,32,467 is 1

Given Input numbers are 135, 267, 32, 467

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Greatest Common Divisior

We found the divisors of 135, 267, 32, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 267, 32, 467 is 1.

Therefore, GCD of numbers 135, 267, 32, 467 is 1

Finding GCD of 135, 267, 32, 467 using Prime Factorization

Given Input Data is 135, 267, 32, 467

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 267 is 3 x 89

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 467 is 467

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 135, 267, 32, 467 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(135, 267) = 12015

GCD(135, 267) = ( 135 x 267 ) / 12015

GCD(135, 267) = 36045 / 12015

GCD(135, 267) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 32

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

LCM(3, 32) = 96

GCD(3, 32) = ( 3 x 32 ) / 96

GCD(3, 32) = 96 / 96

GCD(3, 32) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 467

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

LCM(1, 467) = 467

GCD(1, 467) = ( 1 x 467 ) / 467

GCD(1, 467) = 467 / 467

GCD(1, 467) = 1

GCD of 135, 267, 32, 467 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 135, 267, 32, 467

1. What is the GCD of 135, 267, 32, 467?

GCD of 135, 267, 32, 467 is 1


2. Where do I get the detailed procedure to find GCD of 135, 267, 32, 467?

You can find a detailed procedure to find GCD of 135, 267, 32, 467 on our page.


3. How to find GCD of 135, 267, 32, 467 on a calculator?

You can find the GCD of 135, 267, 32, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.