GCD of 178, 376, 235, 224 Calculator

Given Input numbers are 178, 376, 235, 224

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

Divisors of 178

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

1, 2, 89, 178

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 178, 376, 235, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 376, 235, 224 is 1.

Therefore, GCD of numbers 178, 376, 235, 224 is 1

Given Input Data is 178, 376, 235, 224

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 235 is 5 x 47

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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(178, 376) = 33464

GCD(178, 376) = ( 178 x 376 ) / 33464

GCD(178, 376) = 66928 / 33464

GCD(178, 376) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 235

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

LCM(2, 235) = 470

GCD(2, 235) = ( 2 x 235 ) / 470

GCD(2, 235) = 470 / 470

GCD(2, 235) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 178, 376, 235, 224 is 1

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1. What is the GCD of 178, 376, 235, 224?

GCD of 178, 376, 235, 224 is 1

2. Where do I get the detailed procedure to find GCD of 178, 376, 235, 224?

You can find a detailed procedure to find GCD of 178, 376, 235, 224 on our page.

3. How to find GCD of 178, 376, 235, 224 on a calculator?

You can find the GCD of 178, 376, 235, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.