GCD of 429, 588, 165, 133 Calculator

Given Input numbers are 429, 588, 165, 133

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

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 165

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

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

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 429, 588, 165, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 588, 165, 133 is 1.

Therefore, GCD of numbers 429, 588, 165, 133 is 1

Given Input Data is 429, 588, 165, 133

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 165 is 3 x 5 x 11

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(429, 588) = 84084

GCD(429, 588) = ( 429 x 588 ) / 84084

GCD(429, 588) = 252252 / 84084

GCD(429, 588) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 165

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

LCM(3, 165) = 165

GCD(3, 165) = ( 3 x 165 ) / 165

GCD(3, 165) = 495 / 165

GCD(3, 165) = 3

Step3:

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 429, 588, 165, 133 is 1

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1. What is the GCD of 429, 588, 165, 133?

GCD of 429, 588, 165, 133 is 1

2. Where do I get the detailed procedure to find GCD of 429, 588, 165, 133?

You can find a detailed procedure to find GCD of 429, 588, 165, 133 on our page.

3. How to find GCD of 429, 588, 165, 133 on a calculator?

You can find the GCD of 429, 588, 165, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.