GCD of 87, 784, 218, 221 Calculator

Given Input numbers are 87, 784, 218, 221

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

Divisors of 87

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

1, 3, 29, 87

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 218

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

1, 2, 109, 218

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 87, 784, 218, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 784, 218, 221 is 1.

Therefore, GCD of numbers 87, 784, 218, 221 is 1

Given Input Data is 87, 784, 218, 221

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 218 is 2 x 109

Prime Factorization of 221 is 13 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(87, 784) = 68208

GCD(87, 784) = ( 87 x 784 ) / 68208

GCD(87, 784) = 68208 / 68208

GCD(87, 784) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 87, 784, 218, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 137, 423, 236
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1. What is the GCD of 87, 784, 218, 221?

GCD of 87, 784, 218, 221 is 1

2. Where do I get the detailed procedure to find GCD of 87, 784, 218, 221?

You can find a detailed procedure to find GCD of 87, 784, 218, 221 on our page.

3. How to find GCD of 87, 784, 218, 221 on a calculator?

You can find the GCD of 87, 784, 218, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.