GCD of 365, 220, 31, 189 Calculator

Given Input numbers are 365, 220, 31, 189

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

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

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 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 189

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

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

Greatest Common Divisior

We found the divisors of 365, 220, 31, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 220, 31, 189 is 1.

Therefore, GCD of numbers 365, 220, 31, 189 is 1

Given Input Data is 365, 220, 31, 189

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

Prime Factorization of 365 is 5 x 73

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

Prime Factorization of 31 is 31

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

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(365, 220) = 16060

GCD(365, 220) = ( 365 x 220 ) / 16060

GCD(365, 220) = 80300 / 16060

GCD(365, 220) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 31

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

LCM(5, 31) = 155

GCD(5, 31) = ( 5 x 31 ) / 155

GCD(5, 31) = 155 / 155

GCD(5, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 365, 220, 31, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 588, 590, 31, 894
• GCD of 405, 673, 63, 133
• GCD of 381, 620, 89, 424
• GCD of 681, 372, 27, 679
• GCD of 668, 349, 67, 975

1. What is the GCD of 365, 220, 31, 189?

GCD of 365, 220, 31, 189 is 1

2. Where do I get the detailed procedure to find GCD of 365, 220, 31, 189?

You can find a detailed procedure to find GCD of 365, 220, 31, 189 on our page.

3. How to find GCD of 365, 220, 31, 189 on a calculator?

You can find the GCD of 365, 220, 31, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.