GCD of 406, 326, 942 Calculator

Given Input numbers are 406, 326, 942

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

Divisors of 406

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

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

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 406, 326, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 326, 942 is 2.

Therefore, GCD of numbers 406, 326, 942 is 2

Given Input Data is 406, 326, 942

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 326 is 2 x 163

Prime Factorization of 942 is 2 x 3 x 157

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(406, 326) = 66178

GCD(406, 326) = ( 406 x 326 ) / 66178

GCD(406, 326) = 132356 / 66178

GCD(406, 326) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 942

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

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

GCD(2, 942) = 1884 / 942

GCD(2, 942) = 2

GCD of 406, 326, 942 is 2

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1. What is the GCD of 406, 326, 942?

GCD of 406, 326, 942 is 2

2. Where do I get the detailed procedure to find GCD of 406, 326, 942?

You can find a detailed procedure to find GCD of 406, 326, 942 on our page.

3. How to find GCD of 406, 326, 942 on a calculator?

You can find the GCD of 406, 326, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.