GCD of 444, 361, 920, 223 Calculator

Given Input numbers are 444, 361, 920, 223

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

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 223

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

1, 223

Greatest Common Divisior

We found the divisors of 444, 361, 920, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 361, 920, 223 is 1.

Therefore, GCD of numbers 444, 361, 920, 223 is 1

Given Input Data is 444, 361, 920, 223

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

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 361 is 19 x 19

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 223 is 223

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(444, 361) = 160284

GCD(444, 361) = ( 444 x 361 ) / 160284

GCD(444, 361) = 160284 / 160284

GCD(444, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 223

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

LCM(1, 223) = 223

GCD(1, 223) = ( 1 x 223 ) / 223

GCD(1, 223) = 223 / 223

GCD(1, 223) = 1

GCD of 444, 361, 920, 223 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 126, 517, 444, 506
• GCD of 301, 546, 728, 802
• GCD of 979, 525, 247, 301
• GCD of 590, 789, 334, 514
• GCD of 950, 965, 271, 705

1. What is the GCD of 444, 361, 920, 223?

GCD of 444, 361, 920, 223 is 1

2. Where do I get the detailed procedure to find GCD of 444, 361, 920, 223?

You can find a detailed procedure to find GCD of 444, 361, 920, 223 on our page.

3. How to find GCD of 444, 361, 920, 223 on a calculator?

You can find the GCD of 444, 361, 920, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.