GCD of 406, 126, 264, 326 Calculator

Given Input numbers are 406, 126, 264, 326

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 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 326

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

1, 2, 163, 326

Greatest Common Divisior

We found the divisors of 406, 126, 264, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 126, 264, 326 is 2.

Therefore, GCD of numbers 406, 126, 264, 326 is 2

Given Input Data is 406, 126, 264, 326

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 126 is 2 x 3 x 3 x 7

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 326 is 2 x 163

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, 126) = 3654

GCD(406, 126) = ( 406 x 126 ) / 3654

GCD(406, 126) = 51156 / 3654

GCD(406, 126) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 264

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

LCM(14, 264) = 1848

GCD(14, 264) = ( 14 x 264 ) / 1848

GCD(14, 264) = 3696 / 1848

GCD(14, 264) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 326

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

LCM(2, 326) = 326

GCD(2, 326) = ( 2 x 326 ) / 326

GCD(2, 326) = 652 / 326

GCD(2, 326) = 2

GCD of 406, 126, 264, 326 is 2

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• GCD of 152, 194, 653, 845
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1. What is the GCD of 406, 126, 264, 326?

GCD of 406, 126, 264, 326 is 2

2. Where do I get the detailed procedure to find GCD of 406, 126, 264, 326?

You can find a detailed procedure to find GCD of 406, 126, 264, 326 on our page.

3. How to find GCD of 406, 126, 264, 326 on a calculator?

You can find the GCD of 406, 126, 264, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.