GCD of 209, 915, 90, 318 Calculator

Given Input numbers are 209, 915, 90, 318

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 209, 915, 90, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 915, 90, 318 is 1.

Therefore, GCD of numbers 209, 915, 90, 318 is 1

Given Input Data is 209, 915, 90, 318

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 318 is 2 x 3 x 53

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(209, 915) = 191235

GCD(209, 915) = ( 209 x 915 ) / 191235

GCD(209, 915) = 191235 / 191235

GCD(209, 915) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 209, 915, 90, 318 is 1

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• GCD of 401, 125, 73, 370
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1. What is the GCD of 209, 915, 90, 318?

GCD of 209, 915, 90, 318 is 1

2. Where do I get the detailed procedure to find GCD of 209, 915, 90, 318?

You can find a detailed procedure to find GCD of 209, 915, 90, 318 on our page.

3. How to find GCD of 209, 915, 90, 318 on a calculator?

You can find the GCD of 209, 915, 90, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.