GCD of 398, 984, 941, 349 Calculator

Given Input numbers are 398, 984, 941, 349

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

Divisors of 398

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

1, 2, 199, 398

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 398, 984, 941, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 984, 941, 349 is 1.

Therefore, GCD of numbers 398, 984, 941, 349 is 1

Given Input Data is 398, 984, 941, 349

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 941 is 941

Prime Factorization of 349 is 349

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(398, 984) = 195816

GCD(398, 984) = ( 398 x 984 ) / 195816

GCD(398, 984) = 391632 / 195816

GCD(398, 984) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 941

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

LCM(2, 941) = 1882

GCD(2, 941) = ( 2 x 941 ) / 1882

GCD(2, 941) = 1882 / 1882

GCD(2, 941) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 398, 984, 941, 349 is 1

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1. What is the GCD of 398, 984, 941, 349?

GCD of 398, 984, 941, 349 is 1

2. Where do I get the detailed procedure to find GCD of 398, 984, 941, 349?

You can find a detailed procedure to find GCD of 398, 984, 941, 349 on our page.

3. How to find GCD of 398, 984, 941, 349 on a calculator?

You can find the GCD of 398, 984, 941, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.