GCD of 814, 213, 173, 771 Calculator

Given Input numbers are 814, 213, 173, 771

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 213

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

1, 3, 71, 213

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

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 814, 213, 173, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 213, 173, 771 is 1.

Therefore, GCD of numbers 814, 213, 173, 771 is 1

Given Input Data is 814, 213, 173, 771

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 213 is 3 x 71

Prime Factorization of 173 is 173

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(814, 213) = 173382

GCD(814, 213) = ( 814 x 213 ) / 173382

GCD(814, 213) = 173382 / 173382

GCD(814, 213) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 173

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

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

GCD(1, 173) = 173 / 173

GCD(1, 173) = 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 814, 213, 173, 771 is 1

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1. What is the GCD of 814, 213, 173, 771?

GCD of 814, 213, 173, 771 is 1

2. Where do I get the detailed procedure to find GCD of 814, 213, 173, 771?

You can find a detailed procedure to find GCD of 814, 213, 173, 771 on our page.

3. How to find GCD of 814, 213, 173, 771 on a calculator?

You can find the GCD of 814, 213, 173, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.