GCD of 289, 569, 342, 375 Calculator

Given Input numbers are 289, 569, 342, 375

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 569

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

1, 569

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Greatest Common Divisior

We found the divisors of 289, 569, 342, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 569, 342, 375 is 1.

Therefore, GCD of numbers 289, 569, 342, 375 is 1

Given Input Data is 289, 569, 342, 375

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 569 is 569

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 375 is 3 x 5 x 5 x 5

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(289, 569) = 164441

GCD(289, 569) = ( 289 x 569 ) / 164441

GCD(289, 569) = 164441 / 164441

GCD(289, 569) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

GCD of 289, 569, 342, 375 is 1

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1. What is the GCD of 289, 569, 342, 375?

GCD of 289, 569, 342, 375 is 1

2. Where do I get the detailed procedure to find GCD of 289, 569, 342, 375?

You can find a detailed procedure to find GCD of 289, 569, 342, 375 on our page.

3. How to find GCD of 289, 569, 342, 375 on a calculator?

You can find the GCD of 289, 569, 342, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.