GCD of 177, 200, 206 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 177, 200, 206 i.e. 1 largest integer that divides all the numbers equally.

GCD of 177, 200, 206 is 1

GCD(177, 200, 206) = 1

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

GCD of

GCD of numbers 177, 200, 206 is 1

GCD(177, 200, 206) = 1

GCD of 177,200,206 Calculator

GCDof 177,200,206 is 1

Given Input numbers are 177, 200, 206

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

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 177, 200, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 200, 206 is 1.

Therefore, GCD of numbers 177, 200, 206 is 1

Finding GCD of 177, 200, 206 using Prime Factorization

Given Input Data is 177, 200, 206

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

Prime Factorization of 177 is 3 x 59

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 206 is 2 x 103

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

Finding GCD of 177, 200, 206 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(177, 200) = 35400

GCD(177, 200) = ( 177 x 200 ) / 35400

GCD(177, 200) = 35400 / 35400

GCD(177, 200) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

GCD of 177, 200, 206 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 177, 200, 206

1. What is the GCD of 177, 200, 206?

GCD of 177, 200, 206 is 1


2. Where do I get the detailed procedure to find GCD of 177, 200, 206?

You can find a detailed procedure to find GCD of 177, 200, 206 on our page.


3. How to find GCD of 177, 200, 206 on a calculator?

You can find the GCD of 177, 200, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.