GCD of 241, 689, 164 Calculator

Given Input numbers are 241, 689, 164

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

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 241, 689, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 241, 689, 164 is 1.

Therefore, GCD of numbers 241, 689, 164 is 1

Given Input Data is 241, 689, 164

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

Prime Factorization of 241 is 241

Prime Factorization of 689 is 13 x 53

Prime Factorization of 164 is 2 x 2 x 41

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(241, 689) = 166049

GCD(241, 689) = ( 241 x 689 ) / 166049

GCD(241, 689) = 166049 / 166049

GCD(241, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 241, 689, 164 is 1

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1. What is the GCD of 241, 689, 164?

GCD of 241, 689, 164 is 1

2. Where do I get the detailed procedure to find GCD of 241, 689, 164?

You can find a detailed procedure to find GCD of 241, 689, 164 on our page.

3. How to find GCD of 241, 689, 164 on a calculator?

You can find the GCD of 241, 689, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.