GCD of 708, 129, 834, 429 Calculator

Given Input numbers are 708, 129, 834, 429

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

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 708, 129, 834, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 129, 834, 429 is 3.

Therefore, GCD of numbers 708, 129, 834, 429 is 3

Given Input Data is 708, 129, 834, 429

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 129 is 3 x 43

Prime Factorization of 834 is 2 x 3 x 139

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(708, 129) = 30444

GCD(708, 129) = ( 708 x 129 ) / 30444

GCD(708, 129) = 91332 / 30444

GCD(708, 129) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 834

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

LCM(3, 834) = 834

GCD(3, 834) = ( 3 x 834 ) / 834

GCD(3, 834) = 2502 / 834

GCD(3, 834) = 3

Step3:

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 708, 129, 834, 429 is 3

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1. What is the GCD of 708, 129, 834, 429?

GCD of 708, 129, 834, 429 is 3

2. Where do I get the detailed procedure to find GCD of 708, 129, 834, 429?

You can find a detailed procedure to find GCD of 708, 129, 834, 429 on our page.

3. How to find GCD of 708, 129, 834, 429 on a calculator?

You can find the GCD of 708, 129, 834, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.