GCD of 100, 365, 71, 366 Calculator

Given Input numbers are 100, 365, 71, 366

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

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

Divisors of 365

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

1, 5, 73, 365

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Greatest Common Divisior

We found the divisors of 100, 365, 71, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 365, 71, 366 is 1.

Therefore, GCD of numbers 100, 365, 71, 366 is 1

Given Input Data is 100, 365, 71, 366

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

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 71 is 71

Prime Factorization of 366 is 2 x 3 x 61

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(100, 365) = 7300

GCD(100, 365) = ( 100 x 365 ) / 7300

GCD(100, 365) = 36500 / 7300

GCD(100, 365) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 71

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

LCM(5, 71) = 355

GCD(5, 71) = ( 5 x 71 ) / 355

GCD(5, 71) = 355 / 355

GCD(5, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 366

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

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

GCD(1, 366) = 366 / 366

GCD(1, 366) = 1

GCD of 100, 365, 71, 366 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 342, 81, 293
• GCD of 881, 728, 31, 370
• GCD of 541, 190, 78, 516
• GCD of 749, 371, 34, 250
• GCD of 755, 173, 40, 625

1. What is the GCD of 100, 365, 71, 366?

GCD of 100, 365, 71, 366 is 1

2. Where do I get the detailed procedure to find GCD of 100, 365, 71, 366?

You can find a detailed procedure to find GCD of 100, 365, 71, 366 on our page.

3. How to find GCD of 100, 365, 71, 366 on a calculator?

You can find the GCD of 100, 365, 71, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.