GCD of 816, 396, 54, 746 Calculator

Given Input numbers are 816, 396, 54, 746

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 816, 396, 54, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 396, 54, 746 is 2.

Therefore, GCD of numbers 816, 396, 54, 746 is 2

Given Input Data is 816, 396, 54, 746

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 746 is 2 x 373

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(816, 396) = 26928

GCD(816, 396) = ( 816 x 396 ) / 26928

GCD(816, 396) = 323136 / 26928

GCD(816, 396) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 54

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

LCM(12, 54) = 108

GCD(12, 54) = ( 12 x 54 ) / 108

GCD(12, 54) = 648 / 108

GCD(12, 54) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 746

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

LCM(6, 746) = 2238

GCD(6, 746) = ( 6 x 746 ) / 2238

GCD(6, 746) = 4476 / 2238

GCD(6, 746) = 2

GCD of 816, 396, 54, 746 is 2

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• GCD of 167, 280, 91, 847
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1. What is the GCD of 816, 396, 54, 746?

GCD of 816, 396, 54, 746 is 2

2. Where do I get the detailed procedure to find GCD of 816, 396, 54, 746?

You can find a detailed procedure to find GCD of 816, 396, 54, 746 on our page.

3. How to find GCD of 816, 396, 54, 746 on a calculator?

You can find the GCD of 816, 396, 54, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.