GCD of 217, 180, 64, 289 Calculator

Given Input numbers are 217, 180, 64, 289

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 217, 180, 64, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 180, 64, 289 is 1.

Therefore, GCD of numbers 217, 180, 64, 289 is 1

Given Input Data is 217, 180, 64, 289

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 289 is 17 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(217, 180) = 39060

GCD(217, 180) = ( 217 x 180 ) / 39060

GCD(217, 180) = 39060 / 39060

GCD(217, 180) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 217, 180, 64, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 351, 31, 712
• GCD of 633, 215, 63, 614
• GCD of 194, 744, 24, 370
• GCD of 369, 277, 79, 512
• GCD of 936, 233, 14, 440

1. What is the GCD of 217, 180, 64, 289?

GCD of 217, 180, 64, 289 is 1

2. Where do I get the detailed procedure to find GCD of 217, 180, 64, 289?

You can find a detailed procedure to find GCD of 217, 180, 64, 289 on our page.

3. How to find GCD of 217, 180, 64, 289 on a calculator?

You can find the GCD of 217, 180, 64, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.