GCD of 289, 406, 71, 914 Calculator

Given Input numbers are 289, 406, 71, 914

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 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 914

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

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 289, 406, 71, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 406, 71, 914 is 1.

Therefore, GCD of numbers 289, 406, 71, 914 is 1

Given Input Data is 289, 406, 71, 914

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 71 is 71

Prime Factorization of 914 is 2 x 457

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, 406) = 117334

GCD(289, 406) = ( 289 x 406 ) / 117334

GCD(289, 406) = 117334 / 117334

GCD(289, 406) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 289, 406, 71, 914 is 1

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• GCD of 971, 232, 17, 802
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1. What is the GCD of 289, 406, 71, 914?

GCD of 289, 406, 71, 914 is 1

2. Where do I get the detailed procedure to find GCD of 289, 406, 71, 914?

You can find a detailed procedure to find GCD of 289, 406, 71, 914 on our page.

3. How to find GCD of 289, 406, 71, 914 on a calculator?

You can find the GCD of 289, 406, 71, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.