GCD of 834, 156, 406 Calculator

Given Input numbers are 834, 156, 406

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

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 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 834, 156, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 156, 406 is 2.

Therefore, GCD of numbers 834, 156, 406 is 2

Given Input Data is 834, 156, 406

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

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 406 is 2 x 7 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(834, 156) = 21684

GCD(834, 156) = ( 834 x 156 ) / 21684

GCD(834, 156) = 130104 / 21684

GCD(834, 156) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 406

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

LCM(6, 406) = 1218

GCD(6, 406) = ( 6 x 406 ) / 1218

GCD(6, 406) = 2436 / 1218

GCD(6, 406) = 2

GCD of 834, 156, 406 is 2

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1. What is the GCD of 834, 156, 406?

GCD of 834, 156, 406 is 2

2. Where do I get the detailed procedure to find GCD of 834, 156, 406?

You can find a detailed procedure to find GCD of 834, 156, 406 on our page.

3. How to find GCD of 834, 156, 406 on a calculator?

You can find the GCD of 834, 156, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.