GCD of 801, 289, 86, 213 Calculator

Given Input numbers are 801, 289, 86, 213

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

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 289

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

1, 17, 289

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 801, 289, 86, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 801, 289, 86, 213 is 1.

Therefore, GCD of numbers 801, 289, 86, 213 is 1

Given Input Data is 801, 289, 86, 213

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

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 289 is 17 x 17

Prime Factorization of 86 is 2 x 43

Prime Factorization of 213 is 3 x 71

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(801, 289) = 231489

GCD(801, 289) = ( 801 x 289 ) / 231489

GCD(801, 289) = 231489 / 231489

GCD(801, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 801, 289, 86, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 458, 589, 14, 120
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• GCD of 936, 114, 33, 970
• GCD of 662, 307, 19, 219

1. What is the GCD of 801, 289, 86, 213?

GCD of 801, 289, 86, 213 is 1

2. Where do I get the detailed procedure to find GCD of 801, 289, 86, 213?

You can find a detailed procedure to find GCD of 801, 289, 86, 213 on our page.

3. How to find GCD of 801, 289, 86, 213 on a calculator?

You can find the GCD of 801, 289, 86, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.