GCD of 217, 200, 220, 390 Calculator

Given Input numbers are 217, 200, 220, 390

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 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 217, 200, 220, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 200, 220, 390 is 1.

Therefore, GCD of numbers 217, 200, 220, 390 is 1

Given Input Data is 217, 200, 220, 390

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

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, 200) = 43400

GCD(217, 200) = ( 217 x 200 ) / 43400

GCD(217, 200) = 43400 / 43400

GCD(217, 200) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

GCD of 217, 200, 220, 390 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 658, 454, 667
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• GCD of 673, 405, 942, 979

1. What is the GCD of 217, 200, 220, 390?

GCD of 217, 200, 220, 390 is 1

2. Where do I get the detailed procedure to find GCD of 217, 200, 220, 390?

You can find a detailed procedure to find GCD of 217, 200, 220, 390 on our page.

3. How to find GCD of 217, 200, 220, 390 on a calculator?

You can find the GCD of 217, 200, 220, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.