GCD of 17, 440, 465, 220 Calculator

Given Input numbers are 17, 440, 465, 220

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 17, 440, 465, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 440, 465, 220 is 1.

Therefore, GCD of numbers 17, 440, 465, 220 is 1

Given Input Data is 17, 440, 465, 220

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

Prime Factorization of 17 is 17

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 220 is 2 x 2 x 5 x 11

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(17, 440) = 7480

GCD(17, 440) = ( 17 x 440 ) / 7480

GCD(17, 440) = 7480 / 7480

GCD(17, 440) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 17, 440, 465, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 204, 254, 671
• GCD of 18, 457, 231, 943
• GCD of 63, 282, 186, 425
• GCD of 34, 705, 770, 672
• GCD of 65, 834, 540, 972

1. What is the GCD of 17, 440, 465, 220?

GCD of 17, 440, 465, 220 is 1

2. Where do I get the detailed procedure to find GCD of 17, 440, 465, 220?

You can find a detailed procedure to find GCD of 17, 440, 465, 220 on our page.

3. How to find GCD of 17, 440, 465, 220 on a calculator?

You can find the GCD of 17, 440, 465, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.