GCD of 334, 159, 55, 224 Calculator

Given Input numbers are 334, 159, 55, 224

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

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 159

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

1, 3, 53, 159

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

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 334, 159, 55, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 159, 55, 224 is 1.

Therefore, GCD of numbers 334, 159, 55, 224 is 1

Given Input Data is 334, 159, 55, 224

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 159 is 3 x 53

Prime Factorization of 55 is 5 x 11

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(334, 159) = 53106

GCD(334, 159) = ( 334 x 159 ) / 53106

GCD(334, 159) = 53106 / 53106

GCD(334, 159) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 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 334, 159, 55, 224 is 1

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1. What is the GCD of 334, 159, 55, 224?

GCD of 334, 159, 55, 224 is 1

2. Where do I get the detailed procedure to find GCD of 334, 159, 55, 224?

You can find a detailed procedure to find GCD of 334, 159, 55, 224 on our page.

3. How to find GCD of 334, 159, 55, 224 on a calculator?

You can find the GCD of 334, 159, 55, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.