GCD of 426, 531, 429 Calculator

Given Input numbers are 426, 531, 429

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

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 426, 531, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 531, 429 is 3.

Therefore, GCD of numbers 426, 531, 429 is 3

Given Input Data is 426, 531, 429

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 429 is 3 x 11 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(426, 531) = 75402

GCD(426, 531) = ( 426 x 531 ) / 75402

GCD(426, 531) = 226206 / 75402

GCD(426, 531) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 429

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

LCM(3, 429) = 429

GCD(3, 429) = ( 3 x 429 ) / 429

GCD(3, 429) = 1287 / 429

GCD(3, 429) = 3

GCD of 426, 531, 429 is 3

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1. What is the GCD of 426, 531, 429?

GCD of 426, 531, 429 is 3

2. Where do I get the detailed procedure to find GCD of 426, 531, 429?

You can find a detailed procedure to find GCD of 426, 531, 429 on our page.

3. How to find GCD of 426, 531, 429 on a calculator?

You can find the GCD of 426, 531, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.