GCD of 398, 967, 27, 642 Calculator

Given Input numbers are 398, 967, 27, 642

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 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 398, 967, 27, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 967, 27, 642 is 1.

Therefore, GCD of numbers 398, 967, 27, 642 is 1

Given Input Data is 398, 967, 27, 642

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 967 is 967

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 642 is 2 x 3 x 107

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, 967) = 384866

GCD(398, 967) = ( 398 x 967 ) / 384866

GCD(398, 967) = 384866 / 384866

GCD(398, 967) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 398, 967, 27, 642 is 1

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1. What is the GCD of 398, 967, 27, 642?

GCD of 398, 967, 27, 642 is 1

2. Where do I get the detailed procedure to find GCD of 398, 967, 27, 642?

You can find a detailed procedure to find GCD of 398, 967, 27, 642 on our page.

3. How to find GCD of 398, 967, 27, 642 on a calculator?

You can find the GCD of 398, 967, 27, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.