GCD of 478, 398, 71, 944 Calculator

Given Input numbers are 478, 398, 71, 944

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 398

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

1, 2, 199, 398

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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 478, 398, 71, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 398, 71, 944 is 1.

Therefore, GCD of numbers 478, 398, 71, 944 is 1

Given Input Data is 478, 398, 71, 944

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 398 is 2 x 199

Prime Factorization of 71 is 71

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

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(478, 398) = 95122

GCD(478, 398) = ( 478 x 398 ) / 95122

GCD(478, 398) = 190244 / 95122

GCD(478, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

GCD of 478, 398, 71, 944 is 1

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• GCD of 355, 126, 42, 211
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• GCD of 814, 130, 95, 326

1. What is the GCD of 478, 398, 71, 944?

GCD of 478, 398, 71, 944 is 1

2. Where do I get the detailed procedure to find GCD of 478, 398, 71, 944?

You can find a detailed procedure to find GCD of 478, 398, 71, 944 on our page.

3. How to find GCD of 478, 398, 71, 944 on a calculator?

You can find the GCD of 478, 398, 71, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.