GCD of 424, 416, 324, 826 Calculator

Given Input numbers are 424, 416, 324, 826

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 424, 416, 324, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 416, 324, 826 is 2.

Therefore, GCD of numbers 424, 416, 324, 826 is 2

Given Input Data is 424, 416, 324, 826

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 826 is 2 x 7 x 59

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(424, 416) = 22048

GCD(424, 416) = ( 424 x 416 ) / 22048

GCD(424, 416) = 176384 / 22048

GCD(424, 416) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 324

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

LCM(8, 324) = 648

GCD(8, 324) = ( 8 x 324 ) / 648

GCD(8, 324) = 2592 / 648

GCD(8, 324) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 826

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

LCM(4, 826) = 1652

GCD(4, 826) = ( 4 x 826 ) / 1652

GCD(4, 826) = 3304 / 1652

GCD(4, 826) = 2

GCD of 424, 416, 324, 826 is 2

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1. What is the GCD of 424, 416, 324, 826?

GCD of 424, 416, 324, 826 is 2

2. Where do I get the detailed procedure to find GCD of 424, 416, 324, 826?

You can find a detailed procedure to find GCD of 424, 416, 324, 826 on our page.

3. How to find GCD of 424, 416, 324, 826 on a calculator?

You can find the GCD of 424, 416, 324, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.