GCD of 704, 222, 401, 178 Calculator

Given Input numbers are 704, 222, 401, 178

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

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 222

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

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

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 704, 222, 401, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 222, 401, 178 is 1.

Therefore, GCD of numbers 704, 222, 401, 178 is 1

Given Input Data is 704, 222, 401, 178

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

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

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 401 is 401

Prime Factorization of 178 is 2 x 89

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(704, 222) = 78144

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

GCD(704, 222) = 156288 / 78144

GCD(704, 222) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 401

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

LCM(2, 401) = 802

GCD(2, 401) = ( 2 x 401 ) / 802

GCD(2, 401) = 802 / 802

GCD(2, 401) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1

GCD of 704, 222, 401, 178 is 1

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1. What is the GCD of 704, 222, 401, 178?

GCD of 704, 222, 401, 178 is 1

2. Where do I get the detailed procedure to find GCD of 704, 222, 401, 178?

You can find a detailed procedure to find GCD of 704, 222, 401, 178 on our page.

3. How to find GCD of 704, 222, 401, 178 on a calculator?

You can find the GCD of 704, 222, 401, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.