GCD of 366, 302, 45, 663 Calculator

Given Input numbers are 366, 302, 45, 663

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

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 45

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

1, 3, 5, 9, 15, 45

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 366, 302, 45, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 302, 45, 663 is 1.

Therefore, GCD of numbers 366, 302, 45, 663 is 1

Given Input Data is 366, 302, 45, 663

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 302 is 2 x 151

Prime Factorization of 45 is 3 x 3 x 5

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(366, 302) = 55266

GCD(366, 302) = ( 366 x 302 ) / 55266

GCD(366, 302) = 110532 / 55266

GCD(366, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 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 366, 302, 45, 663 is 1

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1. What is the GCD of 366, 302, 45, 663?

GCD of 366, 302, 45, 663 is 1

2. Where do I get the detailed procedure to find GCD of 366, 302, 45, 663?

You can find a detailed procedure to find GCD of 366, 302, 45, 663 on our page.

3. How to find GCD of 366, 302, 45, 663 on a calculator?

You can find the GCD of 366, 302, 45, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.