GCD of 222, 704, 158 Calculator

Given Input numbers are 222, 704, 158

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

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 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 222, 704, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 704, 158 is 2.

Therefore, GCD of numbers 222, 704, 158 is 2

Given Input Data is 222, 704, 158

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

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 158 is 2 x 79

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(222, 704) = 78144

GCD(222, 704) = ( 222 x 704 ) / 78144

GCD(222, 704) = 156288 / 78144

GCD(222, 704) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 158

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

LCM(2, 158) = 158

GCD(2, 158) = ( 2 x 158 ) / 158

GCD(2, 158) = 316 / 158

GCD(2, 158) = 2

GCD of 222, 704, 158 is 2

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1. What is the GCD of 222, 704, 158?

GCD of 222, 704, 158 is 2

2. Where do I get the detailed procedure to find GCD of 222, 704, 158?

You can find a detailed procedure to find GCD of 222, 704, 158 on our page.

3. How to find GCD of 222, 704, 158 on a calculator?

You can find the GCD of 222, 704, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.