GCD of 918, 883, 517, 258 Calculator

Given Input numbers are 918, 883, 517, 258

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

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 883

List of positive integer divisors of 883 that divides 883 without a remainder.

1, 883

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 918, 883, 517, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 883, 517, 258 is 1.

Therefore, GCD of numbers 918, 883, 517, 258 is 1

Given Input Data is 918, 883, 517, 258

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

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

Prime Factorization of 883 is 883

Prime Factorization of 517 is 11 x 47

Prime Factorization of 258 is 2 x 3 x 43

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(918, 883) = 810594

GCD(918, 883) = ( 918 x 883 ) / 810594

GCD(918, 883) = 810594 / 810594

GCD(918, 883) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 517

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

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

GCD(1, 517) = 517 / 517

GCD(1, 517) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 918, 883, 517, 258 is 1

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1. What is the GCD of 918, 883, 517, 258?

GCD of 918, 883, 517, 258 is 1

2. Where do I get the detailed procedure to find GCD of 918, 883, 517, 258?

You can find a detailed procedure to find GCD of 918, 883, 517, 258 on our page.

3. How to find GCD of 918, 883, 517, 258 on a calculator?

You can find the GCD of 918, 883, 517, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.