GCD of 558, 615, 918, 311 Calculator

Given Input numbers are 558, 615, 918, 311

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

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

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

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 558, 615, 918, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 615, 918, 311 is 1.

Therefore, GCD of numbers 558, 615, 918, 311 is 1

Given Input Data is 558, 615, 918, 311

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

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 615 is 3 x 5 x 41

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

Prime Factorization of 311 is 311

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(558, 615) = 114390

GCD(558, 615) = ( 558 x 615 ) / 114390

GCD(558, 615) = 343170 / 114390

GCD(558, 615) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 918

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

LCM(3, 918) = 918

GCD(3, 918) = ( 3 x 918 ) / 918

GCD(3, 918) = 2754 / 918

GCD(3, 918) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 311

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

LCM(3, 311) = 933

GCD(3, 311) = ( 3 x 311 ) / 933

GCD(3, 311) = 933 / 933

GCD(3, 311) = 1

GCD of 558, 615, 918, 311 is 1

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1. What is the GCD of 558, 615, 918, 311?

GCD of 558, 615, 918, 311 is 1

2. Where do I get the detailed procedure to find GCD of 558, 615, 918, 311?

You can find a detailed procedure to find GCD of 558, 615, 918, 311 on our page.

3. How to find GCD of 558, 615, 918, 311 on a calculator?

You can find the GCD of 558, 615, 918, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.