GCD of 464, 450, 27, 315 Calculator

Given Input numbers are 464, 450, 27, 315

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 464, 450, 27, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 450, 27, 315 is 1.

Therefore, GCD of numbers 464, 450, 27, 315 is 1

Given Input Data is 464, 450, 27, 315

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 315 is 3 x 3 x 5 x 7

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(464, 450) = 104400

GCD(464, 450) = ( 464 x 450 ) / 104400

GCD(464, 450) = 208800 / 104400

GCD(464, 450) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

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

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 464, 450, 27, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 496, 39, 987
• GCD of 243, 273, 88, 410
• GCD of 109, 445, 38, 299
• GCD of 414, 309, 46, 104
• GCD of 930, 395, 34, 521

1. What is the GCD of 464, 450, 27, 315?

GCD of 464, 450, 27, 315 is 1

2. Where do I get the detailed procedure to find GCD of 464, 450, 27, 315?

You can find a detailed procedure to find GCD of 464, 450, 27, 315 on our page.

3. How to find GCD of 464, 450, 27, 315 on a calculator?

You can find the GCD of 464, 450, 27, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.