GCD of 182, 722, 38, 944 Calculator

Given Input numbers are 182, 722, 38, 944

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

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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

Greatest Common Divisior

We found the divisors of 182, 722, 38, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 722, 38, 944 is 2.

Therefore, GCD of numbers 182, 722, 38, 944 is 2

Given Input Data is 182, 722, 38, 944

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

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 38 is 2 x 19

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(182, 722) = 65702

GCD(182, 722) = ( 182 x 722 ) / 65702

GCD(182, 722) = 131404 / 65702

GCD(182, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 944

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

LCM(2, 944) = 944

GCD(2, 944) = ( 2 x 944 ) / 944

GCD(2, 944) = 1888 / 944

GCD(2, 944) = 2

GCD of 182, 722, 38, 944 is 2

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1. What is the GCD of 182, 722, 38, 944?

GCD of 182, 722, 38, 944 is 2

2. Where do I get the detailed procedure to find GCD of 182, 722, 38, 944?

You can find a detailed procedure to find GCD of 182, 722, 38, 944 on our page.

3. How to find GCD of 182, 722, 38, 944 on a calculator?

You can find the GCD of 182, 722, 38, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.