GCD of 363, 150, 37, 843 Calculator

Given Input numbers are 363, 150, 37, 843

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Greatest Common Divisior

We found the divisors of 363, 150, 37, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 150, 37, 843 is 1.

Therefore, GCD of numbers 363, 150, 37, 843 is 1

Given Input Data is 363, 150, 37, 843

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 37 is 37

Prime Factorization of 843 is 3 x 281

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(363, 150) = 18150

GCD(363, 150) = ( 363 x 150 ) / 18150

GCD(363, 150) = 54450 / 18150

GCD(363, 150) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 37

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

LCM(3, 37) = 111

GCD(3, 37) = ( 3 x 37 ) / 111

GCD(3, 37) = 111 / 111

GCD(3, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 843

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

LCM(1, 843) = 843

GCD(1, 843) = ( 1 x 843 ) / 843

GCD(1, 843) = 843 / 843

GCD(1, 843) = 1

GCD of 363, 150, 37, 843 is 1

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• GCD of 218, 219, 78, 127
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1. What is the GCD of 363, 150, 37, 843?

GCD of 363, 150, 37, 843 is 1

2. Where do I get the detailed procedure to find GCD of 363, 150, 37, 843?

You can find a detailed procedure to find GCD of 363, 150, 37, 843 on our page.

3. How to find GCD of 363, 150, 37, 843 on a calculator?

You can find the GCD of 363, 150, 37, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.