GCD of 264, 141, 133 Calculator

Given Input numbers are 264, 141, 133

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 264, 141, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 141, 133 is 1.

Therefore, GCD of numbers 264, 141, 133 is 1

Given Input Data is 264, 141, 133

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 141 is 3 x 47

Prime Factorization of 133 is 7 x 19

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(264, 141) = 12408

GCD(264, 141) = ( 264 x 141 ) / 12408

GCD(264, 141) = 37224 / 12408

GCD(264, 141) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 133

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

LCM(3, 133) = 399

GCD(3, 133) = ( 3 x 133 ) / 399

GCD(3, 133) = 399 / 399

GCD(3, 133) = 1

GCD of 264, 141, 133 is 1

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1. What is the GCD of 264, 141, 133?

GCD of 264, 141, 133 is 1

2. Where do I get the detailed procedure to find GCD of 264, 141, 133?

You can find a detailed procedure to find GCD of 264, 141, 133 on our page.

3. How to find GCD of 264, 141, 133 on a calculator?

You can find the GCD of 264, 141, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.