GCD of 872, 914, 417, 104 Calculator

Given Input numbers are 872, 914, 417, 104

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 104

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

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

Greatest Common Divisior

We found the divisors of 872, 914, 417, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 914, 417, 104 is 1.

Therefore, GCD of numbers 872, 914, 417, 104 is 1

Given Input Data is 872, 914, 417, 104

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 914 is 2 x 457

Prime Factorization of 417 is 3 x 139

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

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(872, 914) = 398504

GCD(872, 914) = ( 872 x 914 ) / 398504

GCD(872, 914) = 797008 / 398504

GCD(872, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 417

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

LCM(2, 417) = 834

GCD(2, 417) = ( 2 x 417 ) / 834

GCD(2, 417) = 834 / 834

GCD(2, 417) = 1

Step3:

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

GCD of 872, 914, 417, 104 is 1

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1. What is the GCD of 872, 914, 417, 104?

GCD of 872, 914, 417, 104 is 1

2. Where do I get the detailed procedure to find GCD of 872, 914, 417, 104?

You can find a detailed procedure to find GCD of 872, 914, 417, 104 on our page.

3. How to find GCD of 872, 914, 417, 104 on a calculator?

You can find the GCD of 872, 914, 417, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.