GCD of 182, 903, 300, 118 Calculator

Given Input numbers are 182, 903, 300, 118

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

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 182, 903, 300, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 903, 300, 118 is 1.

Therefore, GCD of numbers 182, 903, 300, 118 is 1

Given Input Data is 182, 903, 300, 118

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

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 118 is 2 x 59

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(182, 903) = 23478

GCD(182, 903) = ( 182 x 903 ) / 23478

GCD(182, 903) = 164346 / 23478

GCD(182, 903) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 300

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

LCM(7, 300) = 2100

GCD(7, 300) = ( 7 x 300 ) / 2100

GCD(7, 300) = 2100 / 2100

GCD(7, 300) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 182, 903, 300, 118 is 1

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1. What is the GCD of 182, 903, 300, 118?

GCD of 182, 903, 300, 118 is 1

2. Where do I get the detailed procedure to find GCD of 182, 903, 300, 118?

You can find a detailed procedure to find GCD of 182, 903, 300, 118 on our page.

3. How to find GCD of 182, 903, 300, 118 on a calculator?

You can find the GCD of 182, 903, 300, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.