GCD of 298, 242, 180, 222 Calculator

Given Input numbers are 298, 242, 180, 222

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 222

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

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

Greatest Common Divisior

We found the divisors of 298, 242, 180, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 242, 180, 222 is 2.

Therefore, GCD of numbers 298, 242, 180, 222 is 2

Given Input Data is 298, 242, 180, 222

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 222 is 2 x 3 x 37

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(298, 242) = 36058

GCD(298, 242) = ( 298 x 242 ) / 36058

GCD(298, 242) = 72116 / 36058

GCD(298, 242) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 180

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

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

GCD(2, 180) = 360 / 180

GCD(2, 180) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 222

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

LCM(2, 222) = 222

GCD(2, 222) = ( 2 x 222 ) / 222

GCD(2, 222) = 444 / 222

GCD(2, 222) = 2

GCD of 298, 242, 180, 222 is 2

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1. What is the GCD of 298, 242, 180, 222?

GCD of 298, 242, 180, 222 is 2

2. Where do I get the detailed procedure to find GCD of 298, 242, 180, 222?

You can find a detailed procedure to find GCD of 298, 242, 180, 222 on our page.

3. How to find GCD of 298, 242, 180, 222 on a calculator?

You can find the GCD of 298, 242, 180, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.