GCD of 45, 311, 556, 663 Calculator

Given Input numbers are 45, 311, 556, 663

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 45, 311, 556, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 311, 556, 663 is 1.

Therefore, GCD of numbers 45, 311, 556, 663 is 1

Given Input Data is 45, 311, 556, 663

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 311 is 311

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 663 is 3 x 13 x 17

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(45, 311) = 13995

GCD(45, 311) = ( 45 x 311 ) / 13995

GCD(45, 311) = 13995 / 13995

GCD(45, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

GCD of 45, 311, 556, 663 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 824, 333, 972
• GCD of 41, 998, 514, 301
• GCD of 64, 443, 216, 695
• GCD of 51, 966, 720, 561
• GCD of 47, 212, 726, 120

1. What is the GCD of 45, 311, 556, 663?

GCD of 45, 311, 556, 663 is 1

2. Where do I get the detailed procedure to find GCD of 45, 311, 556, 663?

You can find a detailed procedure to find GCD of 45, 311, 556, 663 on our page.

3. How to find GCD of 45, 311, 556, 663 on a calculator?

You can find the GCD of 45, 311, 556, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.