GCD of 350, 258, 622 Calculator

Given Input numbers are 350, 258, 622

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Greatest Common Divisior

We found the divisors of 350, 258, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 258, 622 is 2.

Therefore, GCD of numbers 350, 258, 622 is 2

Given Input Data is 350, 258, 622

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 622 is 2 x 311

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(350, 258) = 45150

GCD(350, 258) = ( 350 x 258 ) / 45150

GCD(350, 258) = 90300 / 45150

GCD(350, 258) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 622

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

LCM(2, 622) = 622

GCD(2, 622) = ( 2 x 622 ) / 622

GCD(2, 622) = 1244 / 622

GCD(2, 622) = 2

GCD of 350, 258, 622 is 2

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1. What is the GCD of 350, 258, 622?

GCD of 350, 258, 622 is 2

2. Where do I get the detailed procedure to find GCD of 350, 258, 622?

You can find a detailed procedure to find GCD of 350, 258, 622 on our page.

3. How to find GCD of 350, 258, 622 on a calculator?

You can find the GCD of 350, 258, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.