GCD of 251, 584, 918 Calculator

Given Input numbers are 251, 584, 918

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

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

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 251, 584, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 251, 584, 918 is 1.

Therefore, GCD of numbers 251, 584, 918 is 1

Given Input Data is 251, 584, 918

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

Prime Factorization of 251 is 251

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(251, 584) = 146584

GCD(251, 584) = ( 251 x 584 ) / 146584

GCD(251, 584) = 146584 / 146584

GCD(251, 584) = 1

Step2:

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 251, 584, 918 is 1

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1. What is the GCD of 251, 584, 918?

GCD of 251, 584, 918 is 1

2. Where do I get the detailed procedure to find GCD of 251, 584, 918?

You can find a detailed procedure to find GCD of 251, 584, 918 on our page.

3. How to find GCD of 251, 584, 918 on a calculator?

You can find the GCD of 251, 584, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.