GCD of 581, 189, 75, 346 Calculator

Given Input numbers are 581, 189, 75, 346

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

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 581, 189, 75, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 581, 189, 75, 346 is 1.

Therefore, GCD of numbers 581, 189, 75, 346 is 1

Given Input Data is 581, 189, 75, 346

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

Prime Factorization of 581 is 7 x 83

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 346 is 2 x 173

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(581, 189) = 15687

GCD(581, 189) = ( 581 x 189 ) / 15687

GCD(581, 189) = 109809 / 15687

GCD(581, 189) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 75

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

LCM(7, 75) = 525

GCD(7, 75) = ( 7 x 75 ) / 525

GCD(7, 75) = 525 / 525

GCD(7, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 346

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

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

GCD(1, 346) = 346 / 346

GCD(1, 346) = 1

GCD of 581, 189, 75, 346 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 933, 583, 20, 260
• GCD of 284, 116, 77, 724
• GCD of 544, 619, 61, 726
• GCD of 862, 406, 83, 707
• GCD of 177, 910, 75, 449

1. What is the GCD of 581, 189, 75, 346?

GCD of 581, 189, 75, 346 is 1

2. Where do I get the detailed procedure to find GCD of 581, 189, 75, 346?

You can find a detailed procedure to find GCD of 581, 189, 75, 346 on our page.

3. How to find GCD of 581, 189, 75, 346 on a calculator?

You can find the GCD of 581, 189, 75, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.