GCD of 429, 845, 988, 559 Calculator

Given Input numbers are 429, 845, 988, 559

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 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 429, 845, 988, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 845, 988, 559 is 13.

Therefore, GCD of numbers 429, 845, 988, 559 is 13

Given Input Data is 429, 845, 988, 559

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 845 is 5 x 13 x 13

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 559 is 13 x 43

Highest common occurrences in the given inputs are 13¹

Multiplying them we get the GCD as 13

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, 845) = 27885

GCD(429, 845) = ( 429 x 845 ) / 27885

GCD(429, 845) = 362505 / 27885

GCD(429, 845) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 988

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

LCM(13, 988) = 988

GCD(13, 988) = ( 13 x 988 ) / 988

GCD(13, 988) = 12844 / 988

GCD(13, 988) = 13

Step3:

Here we consider the GCD from the above i.e. 13 as first number and the next as 559

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

LCM(13, 559) = 559

GCD(13, 559) = ( 13 x 559 ) / 559

GCD(13, 559) = 7267 / 559

GCD(13, 559) = 13

GCD of 429, 845, 988, 559 is 13

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• GCD of 383, 284, 554, 513
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• GCD of 745, 664, 858, 515

1. What is the GCD of 429, 845, 988, 559?

GCD of 429, 845, 988, 559 is 13

2. Where do I get the detailed procedure to find GCD of 429, 845, 988, 559?

You can find a detailed procedure to find GCD of 429, 845, 988, 559 on our page.

3. How to find GCD of 429, 845, 988, 559 on a calculator?

You can find the GCD of 429, 845, 988, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.