GCD of 689, 171, 104, 834 Calculator

Given Input numbers are 689, 171, 104, 834

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 689, 171, 104, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 171, 104, 834 is 1.

Therefore, GCD of numbers 689, 171, 104, 834 is 1

Given Input Data is 689, 171, 104, 834

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 834 is 2 x 3 x 139

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(689, 171) = 117819

GCD(689, 171) = ( 689 x 171 ) / 117819

GCD(689, 171) = 117819 / 117819

GCD(689, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 834

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

LCM(1, 834) = 834

GCD(1, 834) = ( 1 x 834 ) / 834

GCD(1, 834) = 834 / 834

GCD(1, 834) = 1

GCD of 689, 171, 104, 834 is 1

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1. What is the GCD of 689, 171, 104, 834?

GCD of 689, 171, 104, 834 is 1

2. Where do I get the detailed procedure to find GCD of 689, 171, 104, 834?

You can find a detailed procedure to find GCD of 689, 171, 104, 834 on our page.

3. How to find GCD of 689, 171, 104, 834 on a calculator?

You can find the GCD of 689, 171, 104, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.