GCD of 320, 199, 87, 218 Calculator

Given Input numbers are 320, 199, 87, 218

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 320, 199, 87, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 199, 87, 218 is 1.

Therefore, GCD of numbers 320, 199, 87, 218 is 1

Given Input Data is 320, 199, 87, 218

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 199 is 199

Prime Factorization of 87 is 3 x 29

Prime Factorization of 218 is 2 x 109

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(320, 199) = 63680

GCD(320, 199) = ( 320 x 199 ) / 63680

GCD(320, 199) = 63680 / 63680

GCD(320, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 320, 199, 87, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 139, 73, 120
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• GCD of 367, 803, 27, 944
• GCD of 173, 734, 74, 759
• GCD of 249, 802, 20, 466

1. What is the GCD of 320, 199, 87, 218?

GCD of 320, 199, 87, 218 is 1

2. Where do I get the detailed procedure to find GCD of 320, 199, 87, 218?

You can find a detailed procedure to find GCD of 320, 199, 87, 218 on our page.

3. How to find GCD of 320, 199, 87, 218 on a calculator?

You can find the GCD of 320, 199, 87, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.