GCD of 118, 173, 46, 258 Calculator

Given Input numbers are 118, 173, 46, 258

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

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 118, 173, 46, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 173, 46, 258 is 1.

Therefore, GCD of numbers 118, 173, 46, 258 is 1

Given Input Data is 118, 173, 46, 258

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 173 is 173

Prime Factorization of 46 is 2 x 23

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(118, 173) = 20414

GCD(118, 173) = ( 118 x 173 ) / 20414

GCD(118, 173) = 20414 / 20414

GCD(118, 173) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 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 118, 173, 46, 258 is 1

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1. What is the GCD of 118, 173, 46, 258?

GCD of 118, 173, 46, 258 is 1

2. Where do I get the detailed procedure to find GCD of 118, 173, 46, 258?

You can find a detailed procedure to find GCD of 118, 173, 46, 258 on our page.

3. How to find GCD of 118, 173, 46, 258 on a calculator?

You can find the GCD of 118, 173, 46, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.