GCD of 118, 170, 222, 370 Calculator

Given Input numbers are 118, 170, 222, 370

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

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

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 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 118, 170, 222, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 170, 222, 370 is 2.

Therefore, GCD of numbers 118, 170, 222, 370 is 2

Given Input Data is 118, 170, 222, 370

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 370 is 2 x 5 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(118, 170) = 10030

GCD(118, 170) = ( 118 x 170 ) / 10030

GCD(118, 170) = 20060 / 10030

GCD(118, 170) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 370

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

LCM(2, 370) = 370

GCD(2, 370) = ( 2 x 370 ) / 370

GCD(2, 370) = 740 / 370

GCD(2, 370) = 2

GCD of 118, 170, 222, 370 is 2

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1. What is the GCD of 118, 170, 222, 370?

GCD of 118, 170, 222, 370 is 2

2. Where do I get the detailed procedure to find GCD of 118, 170, 222, 370?

You can find a detailed procedure to find GCD of 118, 170, 222, 370 on our page.

3. How to find GCD of 118, 170, 222, 370 on a calculator?

You can find the GCD of 118, 170, 222, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.