GCD of 82, 814, 649, 388 Calculator

Given Input numbers are 82, 814, 649, 388

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

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 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 82, 814, 649, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 814, 649, 388 is 1.

Therefore, GCD of numbers 82, 814, 649, 388 is 1

Given Input Data is 82, 814, 649, 388

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 649 is 11 x 59

Prime Factorization of 388 is 2 x 2 x 97

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(82, 814) = 33374

GCD(82, 814) = ( 82 x 814 ) / 33374

GCD(82, 814) = 66748 / 33374

GCD(82, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 649

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

LCM(2, 649) = 1298

GCD(2, 649) = ( 2 x 649 ) / 1298

GCD(2, 649) = 1298 / 1298

GCD(2, 649) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 388

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

LCM(1, 388) = 388

GCD(1, 388) = ( 1 x 388 ) / 388

GCD(1, 388) = 388 / 388

GCD(1, 388) = 1

GCD of 82, 814, 649, 388 is 1

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• GCD of 69, 616, 961, 998
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• GCD of 66, 754, 442, 820

1. What is the GCD of 82, 814, 649, 388?

GCD of 82, 814, 649, 388 is 1

2. Where do I get the detailed procedure to find GCD of 82, 814, 649, 388?

You can find a detailed procedure to find GCD of 82, 814, 649, 388 on our page.

3. How to find GCD of 82, 814, 649, 388 on a calculator?

You can find the GCD of 82, 814, 649, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.