GCD of 355, 133, 54, 165 Calculator

Given Input numbers are 355, 133, 54, 165

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 133

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

1, 7, 19, 133

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 355, 133, 54, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 133, 54, 165 is 1.

Therefore, GCD of numbers 355, 133, 54, 165 is 1

Given Input Data is 355, 133, 54, 165

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 133 is 7 x 19

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 165 is 3 x 5 x 11

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(355, 133) = 47215

GCD(355, 133) = ( 355 x 133 ) / 47215

GCD(355, 133) = 47215 / 47215

GCD(355, 133) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 355, 133, 54, 165 is 1

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1. What is the GCD of 355, 133, 54, 165?

GCD of 355, 133, 54, 165 is 1

2. Where do I get the detailed procedure to find GCD of 355, 133, 54, 165?

You can find a detailed procedure to find GCD of 355, 133, 54, 165 on our page.

3. How to find GCD of 355, 133, 54, 165 on a calculator?

You can find the GCD of 355, 133, 54, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.