GCD of 345, 220, 173, 584 Calculator

Given Input numbers are 345, 220, 173, 584

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

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 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 345, 220, 173, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 220, 173, 584 is 1.

Therefore, GCD of numbers 345, 220, 173, 584 is 1

Given Input Data is 345, 220, 173, 584

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 173 is 173

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(345, 220) = 15180

GCD(345, 220) = ( 345 x 220 ) / 15180

GCD(345, 220) = 75900 / 15180

GCD(345, 220) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 173

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

LCM(5, 173) = 865

GCD(5, 173) = ( 5 x 173 ) / 865

GCD(5, 173) = 865 / 865

GCD(5, 173) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 345, 220, 173, 584 is 1

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1. What is the GCD of 345, 220, 173, 584?

GCD of 345, 220, 173, 584 is 1

2. Where do I get the detailed procedure to find GCD of 345, 220, 173, 584?

You can find a detailed procedure to find GCD of 345, 220, 173, 584 on our page.

3. How to find GCD of 345, 220, 173, 584 on a calculator?

You can find the GCD of 345, 220, 173, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.