GCD of 689, 289, 211, 161 Calculator

Given Input numbers are 689, 289, 211, 161

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 289

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

1, 17, 289

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 689, 289, 211, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 289, 211, 161 is 1.

Therefore, GCD of numbers 689, 289, 211, 161 is 1

Given Input Data is 689, 289, 211, 161

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 289 is 17 x 17

Prime Factorization of 211 is 211

Prime Factorization of 161 is 7 x 23

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, 289) = 199121

GCD(689, 289) = ( 689 x 289 ) / 199121

GCD(689, 289) = 199121 / 199121

GCD(689, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 211

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

LCM(1, 211) = 211

GCD(1, 211) = ( 1 x 211 ) / 211

GCD(1, 211) = 211 / 211

GCD(1, 211) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 161

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

LCM(1, 161) = 161

GCD(1, 161) = ( 1 x 161 ) / 161

GCD(1, 161) = 161 / 161

GCD(1, 161) = 1

GCD of 689, 289, 211, 161 is 1

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1. What is the GCD of 689, 289, 211, 161?

GCD of 689, 289, 211, 161 is 1

2. Where do I get the detailed procedure to find GCD of 689, 289, 211, 161?

You can find a detailed procedure to find GCD of 689, 289, 211, 161 on our page.

3. How to find GCD of 689, 289, 211, 161 on a calculator?

You can find the GCD of 689, 289, 211, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.