GCD of 361, 360, 443, 100 Calculator

Given Input numbers are 361, 360, 443, 100

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

Divisors of 361

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

1, 19, 361

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 361, 360, 443, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 360, 443, 100 is 1.

Therefore, GCD of numbers 361, 360, 443, 100 is 1

Given Input Data is 361, 360, 443, 100

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 443 is 443

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(361, 360) = 129960

GCD(361, 360) = ( 361 x 360 ) / 129960

GCD(361, 360) = 129960 / 129960

GCD(361, 360) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 443

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

LCM(1, 443) = 443

GCD(1, 443) = ( 1 x 443 ) / 443

GCD(1, 443) = 443 / 443

GCD(1, 443) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 361, 360, 443, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 882, 539, 864, 769
• GCD of 754, 933, 327, 449
• GCD of 263, 771, 423, 414
• GCD of 492, 121, 349, 372
• GCD of 172, 309, 800, 203

1. What is the GCD of 361, 360, 443, 100?

GCD of 361, 360, 443, 100 is 1

2. Where do I get the detailed procedure to find GCD of 361, 360, 443, 100?

You can find a detailed procedure to find GCD of 361, 360, 443, 100 on our page.

3. How to find GCD of 361, 360, 443, 100 on a calculator?

You can find the GCD of 361, 360, 443, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.