GCD of 871, 689, 166 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 871, 689, 166 i.e. 1 largest integer that divides all the numbers equally.

GCD of 871, 689, 166 is 1

GCD(871, 689, 166) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 871, 689, 166 is 1

GCD(871, 689, 166) = 1

GCD of 871,689,166 Calculator

GCDof 871,689,166 is 1

Given Input numbers are 871, 689, 166

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

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

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 871, 689, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 689, 166 is 1.

Therefore, GCD of numbers 871, 689, 166 is 1

Finding GCD of 871, 689, 166 using Prime Factorization

Given Input Data is 871, 689, 166

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

Prime Factorization of 871 is 13 x 67

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

Finding GCD of 871, 689, 166 using LCM Formula

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(871, 689) = 46163

GCD(871, 689) = ( 871 x 689 ) / 46163

GCD(871, 689) = 600119 / 46163

GCD(871, 689) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 166

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

LCM(13, 166) = 2158

GCD(13, 166) = ( 13 x 166 ) / 2158

GCD(13, 166) = 2158 / 2158

GCD(13, 166) = 1

GCD of 871, 689, 166 is 1

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FAQs on GCD of numbers 871, 689, 166

1. What is the GCD of 871, 689, 166?

GCD of 871, 689, 166 is 1

2. Where do I get the detailed procedure to find GCD of 871, 689, 166?

You can find a detailed procedure to find GCD of 871, 689, 166 on our page.

3. How to find GCD of 871, 689, 166 on a calculator?

You can find the GCD of 871, 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.