GCD of 217, 110, 82, 838 Calculator

Given Input numbers are 217, 110, 82, 838

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 82

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

1, 2, 41, 82

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 217, 110, 82, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 110, 82, 838 is 1.

Therefore, GCD of numbers 217, 110, 82, 838 is 1

Given Input Data is 217, 110, 82, 838

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 82 is 2 x 41

Prime Factorization of 838 is 2 x 419

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(217, 110) = 23870

GCD(217, 110) = ( 217 x 110 ) / 23870

GCD(217, 110) = 23870 / 23870

GCD(217, 110) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 217, 110, 82, 838 is 1

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• GCD of 359, 309, 54, 130
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1. What is the GCD of 217, 110, 82, 838?

GCD of 217, 110, 82, 838 is 1

2. Where do I get the detailed procedure to find GCD of 217, 110, 82, 838?

You can find a detailed procedure to find GCD of 217, 110, 82, 838 on our page.

3. How to find GCD of 217, 110, 82, 838 on a calculator?

You can find the GCD of 217, 110, 82, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.