GCD of 474, 159, 296 Calculator

Given Input numbers are 474, 159, 296

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 474, 159, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 159, 296 is 1.

Therefore, GCD of numbers 474, 159, 296 is 1

Given Input Data is 474, 159, 296

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 159 is 3 x 53

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(474, 159) = 25122

GCD(474, 159) = ( 474 x 159 ) / 25122

GCD(474, 159) = 75366 / 25122

GCD(474, 159) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 296

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

LCM(3, 296) = 888

GCD(3, 296) = ( 3 x 296 ) / 888

GCD(3, 296) = 888 / 888

GCD(3, 296) = 1

GCD of 474, 159, 296 is 1

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1. What is the GCD of 474, 159, 296?

GCD of 474, 159, 296 is 1

2. Where do I get the detailed procedure to find GCD of 474, 159, 296?

You can find a detailed procedure to find GCD of 474, 159, 296 on our page.

3. How to find GCD of 474, 159, 296 on a calculator?

You can find the GCD of 474, 159, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.