GCD of 110, 478, 106, 327 Calculator

Given Input numbers are 110, 478, 106, 327

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

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 478

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

1, 2, 239, 478

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Greatest Common Divisior

We found the divisors of 110, 478, 106, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 478, 106, 327 is 1.

Therefore, GCD of numbers 110, 478, 106, 327 is 1

Given Input Data is 110, 478, 106, 327

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 478 is 2 x 239

Prime Factorization of 106 is 2 x 53

Prime Factorization of 327 is 3 x 109

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(110, 478) = 26290

GCD(110, 478) = ( 110 x 478 ) / 26290

GCD(110, 478) = 52580 / 26290

GCD(110, 478) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 106

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

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

GCD(2, 106) = 212 / 106

GCD(2, 106) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 327

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

LCM(2, 327) = 654

GCD(2, 327) = ( 2 x 327 ) / 654

GCD(2, 327) = 654 / 654

GCD(2, 327) = 1

GCD of 110, 478, 106, 327 is 1

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1. What is the GCD of 110, 478, 106, 327?

GCD of 110, 478, 106, 327 is 1

2. Where do I get the detailed procedure to find GCD of 110, 478, 106, 327?

You can find a detailed procedure to find GCD of 110, 478, 106, 327 on our page.

3. How to find GCD of 110, 478, 106, 327 on a calculator?

You can find the GCD of 110, 478, 106, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.