GCD of 429, 221, 52, 180 Calculator

Given Input numbers are 429, 221, 52, 180

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 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 429, 221, 52, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 221, 52, 180 is 1.

Therefore, GCD of numbers 429, 221, 52, 180 is 1

Given Input Data is 429, 221, 52, 180

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 221 is 13 x 17

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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, 221) = 7293

GCD(429, 221) = ( 429 x 221 ) / 7293

GCD(429, 221) = 94809 / 7293

GCD(429, 221) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 52

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

LCM(13, 52) = 52

GCD(13, 52) = ( 13 x 52 ) / 52

GCD(13, 52) = 676 / 52

GCD(13, 52) = 13

Step3:

Here we consider the GCD from the above i.e. 13 as first number and the next as 180

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

LCM(13, 180) = 2340

GCD(13, 180) = ( 13 x 180 ) / 2340

GCD(13, 180) = 2340 / 2340

GCD(13, 180) = 1

GCD of 429, 221, 52, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 390, 23, 764
• GCD of 482, 211, 80, 931
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• GCD of 504, 539, 29, 509
• GCD of 653, 220, 30, 299

1. What is the GCD of 429, 221, 52, 180?

GCD of 429, 221, 52, 180 is 1

2. Where do I get the detailed procedure to find GCD of 429, 221, 52, 180?

You can find a detailed procedure to find GCD of 429, 221, 52, 180 on our page.

3. How to find GCD of 429, 221, 52, 180 on a calculator?

You can find the GCD of 429, 221, 52, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.