GCD of 816, 354, 691 Calculator

Given Input numbers are 816, 354, 691

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 816, 354, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 354, 691 is 1.

Therefore, GCD of numbers 816, 354, 691 is 1

Given Input Data is 816, 354, 691

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 354 is 2 x 3 x 59

Prime Factorization of 691 is 691

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(816, 354) = 48144

GCD(816, 354) = ( 816 x 354 ) / 48144

GCD(816, 354) = 288864 / 48144

GCD(816, 354) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 691

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

LCM(6, 691) = 4146

GCD(6, 691) = ( 6 x 691 ) / 4146

GCD(6, 691) = 4146 / 4146

GCD(6, 691) = 1

GCD of 816, 354, 691 is 1

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1. What is the GCD of 816, 354, 691?

GCD of 816, 354, 691 is 1

2. Where do I get the detailed procedure to find GCD of 816, 354, 691?

You can find a detailed procedure to find GCD of 816, 354, 691 on our page.

3. How to find GCD of 816, 354, 691 on a calculator?

You can find the GCD of 816, 354, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.