GCD of 243, 416, 591, 429 Calculator

Given Input numbers are 243, 416, 591, 429

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

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 429

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

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

Greatest Common Divisior

We found the divisors of 243, 416, 591, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 416, 591, 429 is 1.

Therefore, GCD of numbers 243, 416, 591, 429 is 1

Given Input Data is 243, 416, 591, 429

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 591 is 3 x 197

Prime Factorization of 429 is 3 x 11 x 13

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(243, 416) = 101088

GCD(243, 416) = ( 243 x 416 ) / 101088

GCD(243, 416) = 101088 / 101088

GCD(243, 416) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 591

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

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

GCD(1, 591) = 591 / 591

GCD(1, 591) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 429

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

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

GCD(1, 429) = 429 / 429

GCD(1, 429) = 1

GCD of 243, 416, 591, 429 is 1

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• GCD of 417, 432, 636, 155
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1. What is the GCD of 243, 416, 591, 429?

GCD of 243, 416, 591, 429 is 1

2. Where do I get the detailed procedure to find GCD of 243, 416, 591, 429?

You can find a detailed procedure to find GCD of 243, 416, 591, 429 on our page.

3. How to find GCD of 243, 416, 591, 429 on a calculator?

You can find the GCD of 243, 416, 591, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.