GCD of 107, 258, 474 Calculator

Given Input numbers are 107, 258, 474

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 258

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

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 107, 258, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 258, 474 is 1.

Therefore, GCD of numbers 107, 258, 474 is 1

Given Input Data is 107, 258, 474

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

Prime Factorization of 107 is 107

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 474 is 2 x 3 x 79

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(107, 258) = 27606

GCD(107, 258) = ( 107 x 258 ) / 27606

GCD(107, 258) = 27606 / 27606

GCD(107, 258) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 107, 258, 474 is 1

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1. What is the GCD of 107, 258, 474?

GCD of 107, 258, 474 is 1

2. Where do I get the detailed procedure to find GCD of 107, 258, 474?

You can find a detailed procedure to find GCD of 107, 258, 474 on our page.

3. How to find GCD of 107, 258, 474 on a calculator?

You can find the GCD of 107, 258, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.