GCD of 344, 114, 16, 569 Calculator

Given Input numbers are 344, 114, 16, 569

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Greatest Common Divisior

We found the divisors of 344, 114, 16, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 114, 16, 569 is 1.

Therefore, GCD of numbers 344, 114, 16, 569 is 1

Given Input Data is 344, 114, 16, 569

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 114 is 2 x 3 x 19

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

Prime Factorization of 569 is 569

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(344, 114) = 19608

GCD(344, 114) = ( 344 x 114 ) / 19608

GCD(344, 114) = 39216 / 19608

GCD(344, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 569

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

LCM(2, 569) = 1138

GCD(2, 569) = ( 2 x 569 ) / 1138

GCD(2, 569) = 1138 / 1138

GCD(2, 569) = 1

GCD of 344, 114, 16, 569 is 1

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• GCD of 329, 324, 56, 625
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1. What is the GCD of 344, 114, 16, 569?

GCD of 344, 114, 16, 569 is 1

2. Where do I get the detailed procedure to find GCD of 344, 114, 16, 569?

You can find a detailed procedure to find GCD of 344, 114, 16, 569 on our page.

3. How to find GCD of 344, 114, 16, 569 on a calculator?

You can find the GCD of 344, 114, 16, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.