GCD of 944, 354, 398, 164 Calculator

Given Input numbers are 944, 354, 398, 164

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

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 944, 354, 398, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 354, 398, 164 is 2.

Therefore, GCD of numbers 944, 354, 398, 164 is 2

Given Input Data is 944, 354, 398, 164

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

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 398 is 2 x 199

Prime Factorization of 164 is 2 x 2 x 41

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(944, 354) = 2832

GCD(944, 354) = ( 944 x 354 ) / 2832

GCD(944, 354) = 334176 / 2832

GCD(944, 354) = 118

Step2:

Here we consider the GCD from the above i.e. 118 as first number and the next as 398

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

LCM(118, 398) = 23482

GCD(118, 398) = ( 118 x 398 ) / 23482

GCD(118, 398) = 46964 / 23482

GCD(118, 398) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 164

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

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

GCD(2, 164) = 328 / 164

GCD(2, 164) = 2

GCD of 944, 354, 398, 164 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 665, 437, 881
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• GCD of 200, 326, 526, 193
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• GCD of 340, 914, 781, 779

1. What is the GCD of 944, 354, 398, 164?

GCD of 944, 354, 398, 164 is 2

2. Where do I get the detailed procedure to find GCD of 944, 354, 398, 164?

You can find a detailed procedure to find GCD of 944, 354, 398, 164 on our page.

3. How to find GCD of 944, 354, 398, 164 on a calculator?

You can find the GCD of 944, 354, 398, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.