GCD of 846, 289, 171 Calculator

Given Input numbers are 846, 289, 171

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

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 289

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

1, 17, 289

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 846, 289, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 289, 171 is 1.

Therefore, GCD of numbers 846, 289, 171 is 1

Given Input Data is 846, 289, 171

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

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 289 is 17 x 17

Prime Factorization of 171 is 3 x 3 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(846, 289) = 244494

GCD(846, 289) = ( 846 x 289 ) / 244494

GCD(846, 289) = 244494 / 244494

GCD(846, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 846, 289, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 696, 205
• GCD of 482, 701, 695
• GCD of 454, 276, 821
• GCD of 817, 455, 164
• GCD of 167, 678, 685

1. What is the GCD of 846, 289, 171?

GCD of 846, 289, 171 is 1

2. Where do I get the detailed procedure to find GCD of 846, 289, 171?

You can find a detailed procedure to find GCD of 846, 289, 171 on our page.

3. How to find GCD of 846, 289, 171 on a calculator?

You can find the GCD of 846, 289, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.