GCD of 34, 345, 498, 569 Calculator

Given Input numbers are 34, 345, 498, 569

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 345

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

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

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 34, 345, 498, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 345, 498, 569 is 1.

Therefore, GCD of numbers 34, 345, 498, 569 is 1

Given Input Data is 34, 345, 498, 569

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 498 is 2 x 3 x 83

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(34, 345) = 11730

GCD(34, 345) = ( 34 x 345 ) / 11730

GCD(34, 345) = 11730 / 11730

GCD(34, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 569

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

LCM(1, 569) = 569

GCD(1, 569) = ( 1 x 569 ) / 569

GCD(1, 569) = 569 / 569

GCD(1, 569) = 1

GCD of 34, 345, 498, 569 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 951, 161, 788
• GCD of 30, 702, 826, 330
• GCD of 69, 572, 512, 353
• GCD of 45, 146, 616, 132
• GCD of 73, 333, 556, 944

1. What is the GCD of 34, 345, 498, 569?

GCD of 34, 345, 498, 569 is 1

2. Where do I get the detailed procedure to find GCD of 34, 345, 498, 569?

You can find a detailed procedure to find GCD of 34, 345, 498, 569 on our page.

3. How to find GCD of 34, 345, 498, 569 on a calculator?

You can find the GCD of 34, 345, 498, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.