GCD of 114, 330, 78, 401 Calculator

Given Input numbers are 114, 330, 78, 401

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 114, 330, 78, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 330, 78, 401 is 1.

Therefore, GCD of numbers 114, 330, 78, 401 is 1

Given Input Data is 114, 330, 78, 401

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 401 is 401

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(114, 330) = 6270

GCD(114, 330) = ( 114 x 330 ) / 6270

GCD(114, 330) = 37620 / 6270

GCD(114, 330) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 78

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

LCM(6, 78) = 78

GCD(6, 78) = ( 6 x 78 ) / 78

GCD(6, 78) = 468 / 78

GCD(6, 78) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 401

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

LCM(6, 401) = 2406

GCD(6, 401) = ( 6 x 401 ) / 2406

GCD(6, 401) = 2406 / 2406

GCD(6, 401) = 1

GCD of 114, 330, 78, 401 is 1

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• GCD of 519, 224, 52, 821
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1. What is the GCD of 114, 330, 78, 401?

GCD of 114, 330, 78, 401 is 1

2. Where do I get the detailed procedure to find GCD of 114, 330, 78, 401?

You can find a detailed procedure to find GCD of 114, 330, 78, 401 on our page.

3. How to find GCD of 114, 330, 78, 401 on a calculator?

You can find the GCD of 114, 330, 78, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.