GCD of 180, 410, 223, 117 Calculator

Given Input numbers are 180, 410, 223, 117

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 180, 410, 223, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 410, 223, 117 is 1.

Therefore, GCD of numbers 180, 410, 223, 117 is 1

Given Input Data is 180, 410, 223, 117

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 223 is 223

Prime Factorization of 117 is 3 x 3 x 13

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(180, 410) = 7380

GCD(180, 410) = ( 180 x 410 ) / 7380

GCD(180, 410) = 73800 / 7380

GCD(180, 410) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 223

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

LCM(10, 223) = 2230

GCD(10, 223) = ( 10 x 223 ) / 2230

GCD(10, 223) = 2230 / 2230

GCD(10, 223) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

GCD of 180, 410, 223, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 258, 550, 197
• GCD of 741, 767, 576, 348
• GCD of 120, 941, 893, 289
• GCD of 460, 233, 455, 105
• GCD of 409, 620, 410, 984

1. What is the GCD of 180, 410, 223, 117?

GCD of 180, 410, 223, 117 is 1

2. Where do I get the detailed procedure to find GCD of 180, 410, 223, 117?

You can find a detailed procedure to find GCD of 180, 410, 223, 117 on our page.

3. How to find GCD of 180, 410, 223, 117 on a calculator?

You can find the GCD of 180, 410, 223, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.