GCD of 106, 838, 988, 917 Calculator

Given Input numbers are 106, 838, 988, 917

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 838

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

1, 2, 419, 838

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 106, 838, 988, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 838, 988, 917 is 1.

Therefore, GCD of numbers 106, 838, 988, 917 is 1

Given Input Data is 106, 838, 988, 917

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 838 is 2 x 419

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 917 is 7 x 131

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(106, 838) = 44414

GCD(106, 838) = ( 106 x 838 ) / 44414

GCD(106, 838) = 88828 / 44414

GCD(106, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 988

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

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

GCD(2, 988) = 1976 / 988

GCD(2, 988) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 917

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

LCM(2, 917) = 1834

GCD(2, 917) = ( 2 x 917 ) / 1834

GCD(2, 917) = 1834 / 1834

GCD(2, 917) = 1

GCD of 106, 838, 988, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 572, 419, 892
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• GCD of 321, 514, 861, 277

1. What is the GCD of 106, 838, 988, 917?

GCD of 106, 838, 988, 917 is 1

2. Where do I get the detailed procedure to find GCD of 106, 838, 988, 917?

You can find a detailed procedure to find GCD of 106, 838, 988, 917 on our page.

3. How to find GCD of 106, 838, 988, 917 on a calculator?

You can find the GCD of 106, 838, 988, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.