GCD of 198, 490, 623, 167 Calculator

Given Input numbers are 198, 490, 623, 167

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

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 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Greatest Common Divisior

We found the divisors of 198, 490, 623, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 490, 623, 167 is 1.

Therefore, GCD of numbers 198, 490, 623, 167 is 1

Given Input Data is 198, 490, 623, 167

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

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 623 is 7 x 89

Prime Factorization of 167 is 167

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(198, 490) = 48510

GCD(198, 490) = ( 198 x 490 ) / 48510

GCD(198, 490) = 97020 / 48510

GCD(198, 490) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 623

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

LCM(2, 623) = 1246

GCD(2, 623) = ( 2 x 623 ) / 1246

GCD(2, 623) = 1246 / 1246

GCD(2, 623) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 167

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

LCM(1, 167) = 167

GCD(1, 167) = ( 1 x 167 ) / 167

GCD(1, 167) = 167 / 167

GCD(1, 167) = 1

GCD of 198, 490, 623, 167 is 1

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1. What is the GCD of 198, 490, 623, 167?

GCD of 198, 490, 623, 167 is 1

2. Where do I get the detailed procedure to find GCD of 198, 490, 623, 167?

You can find a detailed procedure to find GCD of 198, 490, 623, 167 on our page.

3. How to find GCD of 198, 490, 623, 167 on a calculator?

You can find the GCD of 198, 490, 623, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.