GCD of 170, 347, 213, 180 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 170, 347, 213, 180 i.e. 1 largest integer that divides all the numbers equally.

GCD of 170, 347, 213, 180 is 1

GCD(170, 347, 213, 180) = 1

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

GCD of

GCD of numbers 170, 347, 213, 180 is 1

GCD(170, 347, 213, 180) = 1

GCD of 170,347,213,180 Calculator

GCDof 170,347,213,180 is 1

Given Input numbers are 170, 347, 213, 180

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 170, 347, 213, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 347, 213, 180 is 1.

Therefore, GCD of numbers 170, 347, 213, 180 is 1

Finding GCD of 170, 347, 213, 180 using Prime Factorization

Given Input Data is 170, 347, 213, 180

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 347 is 347

Prime Factorization of 213 is 3 x 71

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 170, 347, 213, 180 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(170, 347) = 58990

GCD(170, 347) = ( 170 x 347 ) / 58990

GCD(170, 347) = 58990 / 58990

GCD(170, 347) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 170, 347, 213, 180 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 170, 347, 213, 180

1. What is the GCD of 170, 347, 213, 180?

GCD of 170, 347, 213, 180 is 1


2. Where do I get the detailed procedure to find GCD of 170, 347, 213, 180?

You can find a detailed procedure to find GCD of 170, 347, 213, 180 on our page.


3. How to find GCD of 170, 347, 213, 180 on a calculator?

You can find the GCD of 170, 347, 213, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.