GCD of 588, 155, 768, 226 Calculator

Given Input numbers are 588, 155, 768, 226

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 588, 155, 768, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 155, 768, 226 is 1.

Therefore, GCD of numbers 588, 155, 768, 226 is 1

Given Input Data is 588, 155, 768, 226

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 155 is 5 x 31

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 226 is 2 x 113

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(588, 155) = 91140

GCD(588, 155) = ( 588 x 155 ) / 91140

GCD(588, 155) = 91140 / 91140

GCD(588, 155) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

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

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

GCD of 588, 155, 768, 226 is 1

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1. What is the GCD of 588, 155, 768, 226?

GCD of 588, 155, 768, 226 is 1

2. Where do I get the detailed procedure to find GCD of 588, 155, 768, 226?

You can find a detailed procedure to find GCD of 588, 155, 768, 226 on our page.

3. How to find GCD of 588, 155, 768, 226 on a calculator?

You can find the GCD of 588, 155, 768, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.