GCD of 17, 422, 869, 416 Calculator

Given Input numbers are 17, 422, 869, 416

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 17, 422, 869, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 422, 869, 416 is 1.

Therefore, GCD of numbers 17, 422, 869, 416 is 1

Given Input Data is 17, 422, 869, 416

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

Prime Factorization of 17 is 17

Prime Factorization of 422 is 2 x 211

Prime Factorization of 869 is 11 x 79

Prime Factorization of 416 is 2 x 2 x 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(17, 422) = 7174

GCD(17, 422) = ( 17 x 422 ) / 7174

GCD(17, 422) = 7174 / 7174

GCD(17, 422) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

GCD of 17, 422, 869, 416 is 1

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• GCD of 88, 682, 907, 140
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• GCD of 23, 757, 518, 984

1. What is the GCD of 17, 422, 869, 416?

GCD of 17, 422, 869, 416 is 1

2. Where do I get the detailed procedure to find GCD of 17, 422, 869, 416?

You can find a detailed procedure to find GCD of 17, 422, 869, 416 on our page.

3. How to find GCD of 17, 422, 869, 416 on a calculator?

You can find the GCD of 17, 422, 869, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.