GCD of 136, 219, 344, 918 Calculator

Given Input numbers are 136, 219, 344, 918

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

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

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 136, 219, 344, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 219, 344, 918 is 1.

Therefore, GCD of numbers 136, 219, 344, 918 is 1

Given Input Data is 136, 219, 344, 918

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 219 is 3 x 73

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(136, 219) = 29784

GCD(136, 219) = ( 136 x 219 ) / 29784

GCD(136, 219) = 29784 / 29784

GCD(136, 219) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 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 136, 219, 344, 918 is 1

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1. What is the GCD of 136, 219, 344, 918?

GCD of 136, 219, 344, 918 is 1

2. Where do I get the detailed procedure to find GCD of 136, 219, 344, 918?

You can find a detailed procedure to find GCD of 136, 219, 344, 918 on our page.

3. How to find GCD of 136, 219, 344, 918 on a calculator?

You can find the GCD of 136, 219, 344, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.