GCD of 45, 305, 444, 476 Calculator

Given Input numbers are 45, 305, 444, 476

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 45, 305, 444, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 305, 444, 476 is 1.

Therefore, GCD of numbers 45, 305, 444, 476 is 1

Given Input Data is 45, 305, 444, 476

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 305 is 5 x 61

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 476 is 2 x 2 x 7 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, 305) = 2745

GCD(45, 305) = ( 45 x 305 ) / 2745

GCD(45, 305) = 13725 / 2745

GCD(45, 305) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 444

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

LCM(5, 444) = 2220

GCD(5, 444) = ( 5 x 444 ) / 2220

GCD(5, 444) = 2220 / 2220

GCD(5, 444) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 476

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

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

GCD(1, 476) = 476 / 476

GCD(1, 476) = 1

GCD of 45, 305, 444, 476 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 637, 734, 177
• GCD of 15, 566, 987, 124
• GCD of 40, 979, 675, 951
• GCD of 22, 655, 417, 678
• GCD of 23, 129, 833, 560

1. What is the GCD of 45, 305, 444, 476?

GCD of 45, 305, 444, 476 is 1

2. Where do I get the detailed procedure to find GCD of 45, 305, 444, 476?

You can find a detailed procedure to find GCD of 45, 305, 444, 476 on our page.

3. How to find GCD of 45, 305, 444, 476 on a calculator?

You can find the GCD of 45, 305, 444, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.