GCD of 914, 689, 166 Calculator

Given Input numbers are 914, 689, 166

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

Divisors of 914

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

1, 2, 457, 914

Divisors of 689

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

1, 13, 53, 689

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Greatest Common Divisior

We found the divisors of 914, 689, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 689, 166 is 1.

Therefore, GCD of numbers 914, 689, 166 is 1

Given Input Data is 914, 689, 166

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 689 is 13 x 53

Prime Factorization of 166 is 2 x 83

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(914, 689) = 629746

GCD(914, 689) = ( 914 x 689 ) / 629746

GCD(914, 689) = 629746 / 629746

GCD(914, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 166

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

LCM(1, 166) = 166

GCD(1, 166) = ( 1 x 166 ) / 166

GCD(1, 166) = 166 / 166

GCD(1, 166) = 1

GCD of 914, 689, 166 is 1

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1. What is the GCD of 914, 689, 166?

GCD of 914, 689, 166 is 1

2. Where do I get the detailed procedure to find GCD of 914, 689, 166?

You can find a detailed procedure to find GCD of 914, 689, 166 on our page.

3. How to find GCD of 914, 689, 166 on a calculator?

You can find the GCD of 914, 689, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.