GCD of 345, 198, 458, 627 Calculator

Given Input numbers are 345, 198, 458, 627

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Greatest Common Divisior

We found the divisors of 345, 198, 458, 627 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 198, 458, 627 is 1.

Therefore, GCD of numbers 345, 198, 458, 627 is 1

Given Input Data is 345, 198, 458, 627

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 458 is 2 x 229

Prime Factorization of 627 is 3 x 11 x 19

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(345, 198) = 22770

GCD(345, 198) = ( 345 x 198 ) / 22770

GCD(345, 198) = 68310 / 22770

GCD(345, 198) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 458

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

LCM(3, 458) = 1374

GCD(3, 458) = ( 3 x 458 ) / 1374

GCD(3, 458) = 1374 / 1374

GCD(3, 458) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 627

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

LCM(1, 627) = 627

GCD(1, 627) = ( 1 x 627 ) / 627

GCD(1, 627) = 627 / 627

GCD(1, 627) = 1

GCD of 345, 198, 458, 627 is 1

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1. What is the GCD of 345, 198, 458, 627?

GCD of 345, 198, 458, 627 is 1

2. Where do I get the detailed procedure to find GCD of 345, 198, 458, 627?

You can find a detailed procedure to find GCD of 345, 198, 458, 627 on our page.

3. How to find GCD of 345, 198, 458, 627 on a calculator?

You can find the GCD of 345, 198, 458, 627 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.