GCD of 291, 324, 71, 816 Calculator

Given Input numbers are 291, 324, 71, 816

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

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 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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

Greatest Common Divisior

We found the divisors of 291, 324, 71, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 324, 71, 816 is 1.

Therefore, GCD of numbers 291, 324, 71, 816 is 1

Given Input Data is 291, 324, 71, 816

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

Prime Factorization of 291 is 3 x 97

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

Prime Factorization of 71 is 71

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

The above numbers do not have any common prime factor. So GCD is 1

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(291, 324) = 31428

GCD(291, 324) = ( 291 x 324 ) / 31428

GCD(291, 324) = 94284 / 31428

GCD(291, 324) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 71

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

LCM(3, 71) = 213

GCD(3, 71) = ( 3 x 71 ) / 213

GCD(3, 71) = 213 / 213

GCD(3, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 816

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

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

GCD(1, 816) = 816 / 816

GCD(1, 816) = 1

GCD of 291, 324, 71, 816 is 1

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1. What is the GCD of 291, 324, 71, 816?

GCD of 291, 324, 71, 816 is 1

2. Where do I get the detailed procedure to find GCD of 291, 324, 71, 816?

You can find a detailed procedure to find GCD of 291, 324, 71, 816 on our page.

3. How to find GCD of 291, 324, 71, 816 on a calculator?

You can find the GCD of 291, 324, 71, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.