GCD of 106, 944, 92, 159 Calculator

Given Input numbers are 106, 944, 92, 159

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 159

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

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 106, 944, 92, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 944, 92, 159 is 1.

Therefore, GCD of numbers 106, 944, 92, 159 is 1

Given Input Data is 106, 944, 92, 159

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 159 is 3 x 53

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(106, 944) = 50032

GCD(106, 944) = ( 106 x 944 ) / 50032

GCD(106, 944) = 100064 / 50032

GCD(106, 944) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 92

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

LCM(2, 92) = 92

GCD(2, 92) = ( 2 x 92 ) / 92

GCD(2, 92) = 184 / 92

GCD(2, 92) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 159

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

LCM(2, 159) = 318

GCD(2, 159) = ( 2 x 159 ) / 318

GCD(2, 159) = 318 / 318

GCD(2, 159) = 1

GCD of 106, 944, 92, 159 is 1

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• GCD of 406, 216, 25, 495
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1. What is the GCD of 106, 944, 92, 159?

GCD of 106, 944, 92, 159 is 1

2. Where do I get the detailed procedure to find GCD of 106, 944, 92, 159?

You can find a detailed procedure to find GCD of 106, 944, 92, 159 on our page.

3. How to find GCD of 106, 944, 92, 159 on a calculator?

You can find the GCD of 106, 944, 92, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.