GCD of 213, 289, 17, 771 Calculator

Given Input numbers are 213, 289, 17, 771

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

Divisors of 213

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

1, 3, 71, 213

Divisors of 289

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

1, 17, 289

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 213, 289, 17, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 289, 17, 771 is 1.

Therefore, GCD of numbers 213, 289, 17, 771 is 1

Given Input Data is 213, 289, 17, 771

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 289 is 17 x 17

Prime Factorization of 17 is 17

Prime Factorization of 771 is 3 x 257

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(213, 289) = 61557

GCD(213, 289) = ( 213 x 289 ) / 61557

GCD(213, 289) = 61557 / 61557

GCD(213, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

GCD of 213, 289, 17, 771 is 1

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• GCD of 547, 418, 57, 893
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1. What is the GCD of 213, 289, 17, 771?

GCD of 213, 289, 17, 771 is 1

2. Where do I get the detailed procedure to find GCD of 213, 289, 17, 771?

You can find a detailed procedure to find GCD of 213, 289, 17, 771 on our page.

3. How to find GCD of 213, 289, 17, 771 on a calculator?

You can find the GCD of 213, 289, 17, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.