GCD of 742, 944, 159 Calculator

Given Input numbers are 742, 944, 159

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

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 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 742, 944, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 944, 159 is 1.

Therefore, GCD of numbers 742, 944, 159 is 1

Given Input Data is 742, 944, 159

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

Prime Factorization of 742 is 2 x 7 x 53

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

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(742, 944) = 350224

GCD(742, 944) = ( 742 x 944 ) / 350224

GCD(742, 944) = 700448 / 350224

GCD(742, 944) = 2

Step2:

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 742, 944, 159 is 1

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1. What is the GCD of 742, 944, 159?

GCD of 742, 944, 159 is 1

2. Where do I get the detailed procedure to find GCD of 742, 944, 159?

You can find a detailed procedure to find GCD of 742, 944, 159 on our page.

3. How to find GCD of 742, 944, 159 on a calculator?

You can find the GCD of 742, 944, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.