GCD of 289, 417, 143, 969 Calculator

Given Input numbers are 289, 417, 143, 969

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 417

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

1, 3, 139, 417

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 289, 417, 143, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 417, 143, 969 is 1.

Therefore, GCD of numbers 289, 417, 143, 969 is 1

Given Input Data is 289, 417, 143, 969

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 417 is 3 x 139

Prime Factorization of 143 is 11 x 13

Prime Factorization of 969 is 3 x 17 x 19

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(289, 417) = 120513

GCD(289, 417) = ( 289 x 417 ) / 120513

GCD(289, 417) = 120513 / 120513

GCD(289, 417) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 289, 417, 143, 969 is 1

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1. What is the GCD of 289, 417, 143, 969?

GCD of 289, 417, 143, 969 is 1

2. Where do I get the detailed procedure to find GCD of 289, 417, 143, 969?

You can find a detailed procedure to find GCD of 289, 417, 143, 969 on our page.

3. How to find GCD of 289, 417, 143, 969 on a calculator?

You can find the GCD of 289, 417, 143, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.