GCD of 135, 267, 543 Calculator

Given Input numbers are 135, 267, 543

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 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Greatest Common Divisior

We found the divisors of 135, 267, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 267, 543 is 3.

Therefore, GCD of numbers 135, 267, 543 is 3

Given Input Data is 135, 267, 543

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 543 is 3 x 181

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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 543

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

LCM(3, 543) = 543

GCD(3, 543) = ( 3 x 543 ) / 543

GCD(3, 543) = 1629 / 543

GCD(3, 543) = 3

GCD of 135, 267, 543 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 472, 256, 465
• GCD of 845, 777, 957
• GCD of 200, 262, 753
• GCD of 398, 805, 813
• GCD of 544, 630, 103

1. What is the GCD of 135, 267, 543?

GCD of 135, 267, 543 is 3

2. Where do I get the detailed procedure to find GCD of 135, 267, 543?

You can find a detailed procedure to find GCD of 135, 267, 543 on our page.

3. How to find GCD of 135, 267, 543 on a calculator?

You can find the GCD of 135, 267, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.