GCD of 993, 222, 174, 645 Calculator

Given Input numbers are 993, 222, 174, 645

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 993, 222, 174, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 222, 174, 645 is 3.

Therefore, GCD of numbers 993, 222, 174, 645 is 3

Given Input Data is 993, 222, 174, 645

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 645 is 3 x 5 x 43

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(993, 222) = 73482

GCD(993, 222) = ( 993 x 222 ) / 73482

GCD(993, 222) = 220446 / 73482

GCD(993, 222) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 174

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

LCM(3, 174) = 174

GCD(3, 174) = ( 3 x 174 ) / 174

GCD(3, 174) = 522 / 174

GCD(3, 174) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 645

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

LCM(3, 645) = 645

GCD(3, 645) = ( 3 x 645 ) / 645

GCD(3, 645) = 1935 / 645

GCD(3, 645) = 3

GCD of 993, 222, 174, 645 is 3

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1. What is the GCD of 993, 222, 174, 645?

GCD of 993, 222, 174, 645 is 3

2. Where do I get the detailed procedure to find GCD of 993, 222, 174, 645?

You can find a detailed procedure to find GCD of 993, 222, 174, 645 on our page.

3. How to find GCD of 993, 222, 174, 645 on a calculator?

You can find the GCD of 993, 222, 174, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.