GCD of 16, 691, 869, 345 Calculator

Given Input numbers are 16, 691, 869, 345

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 691

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

1, 691

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 16, 691, 869, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 691, 869, 345 is 1.

Therefore, GCD of numbers 16, 691, 869, 345 is 1

Given Input Data is 16, 691, 869, 345

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 691 is 691

Prime Factorization of 869 is 11 x 79

Prime Factorization of 345 is 3 x 5 x 23

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(16, 691) = 11056

GCD(16, 691) = ( 16 x 691 ) / 11056

GCD(16, 691) = 11056 / 11056

GCD(16, 691) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 16, 691, 869, 345 is 1

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• GCD of 45, 467, 188, 581
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1. What is the GCD of 16, 691, 869, 345?

GCD of 16, 691, 869, 345 is 1

2. Where do I get the detailed procedure to find GCD of 16, 691, 869, 345?

You can find a detailed procedure to find GCD of 16, 691, 869, 345 on our page.

3. How to find GCD of 16, 691, 869, 345 on a calculator?

You can find the GCD of 16, 691, 869, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.