GCD of 844, 180, 49, 918 Calculator

Given Input numbers are 844, 180, 49, 918

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

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

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 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 844, 180, 49, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 844, 180, 49, 918 is 1.

Therefore, GCD of numbers 844, 180, 49, 918 is 1

Given Input Data is 844, 180, 49, 918

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

Prime Factorization of 844 is 2 x 2 x 211

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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(844, 180) = 37980

GCD(844, 180) = ( 844 x 180 ) / 37980

GCD(844, 180) = 151920 / 37980

GCD(844, 180) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 49

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

LCM(4, 49) = 196

GCD(4, 49) = ( 4 x 49 ) / 196

GCD(4, 49) = 196 / 196

GCD(4, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

GCD of 844, 180, 49, 918 is 1

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1. What is the GCD of 844, 180, 49, 918?

GCD of 844, 180, 49, 918 is 1

2. Where do I get the detailed procedure to find GCD of 844, 180, 49, 918?

You can find a detailed procedure to find GCD of 844, 180, 49, 918 on our page.

3. How to find GCD of 844, 180, 49, 918 on a calculator?

You can find the GCD of 844, 180, 49, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.