GCD of 681, 164, 45, 200 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 681, 164, 45, 200 i.e. 1 largest integer that divides all the numbers equally.

GCD of 681, 164, 45, 200 is 1

GCD(681, 164, 45, 200) = 1

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

GCD of

GCD of numbers 681, 164, 45, 200 is 1

GCD(681, 164, 45, 200) = 1

GCD of 681,164,45,200 Calculator

GCDof 681,164,45,200 is 1

Given Input numbers are 681, 164, 45, 200

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

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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

Greatest Common Divisior

We found the divisors of 681, 164, 45, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 681, 164, 45, 200 is 1.

Therefore, GCD of numbers 681, 164, 45, 200 is 1

Finding GCD of 681, 164, 45, 200 using Prime Factorization

Given Input Data is 681, 164, 45, 200

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

Prime Factorization of 681 is 3 x 227

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 45 is 3 x 3 x 5

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

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

Finding GCD of 681, 164, 45, 200 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(681, 164) = 111684

GCD(681, 164) = ( 681 x 164 ) / 111684

GCD(681, 164) = 111684 / 111684

GCD(681, 164) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 681, 164, 45, 200 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 681, 164, 45, 200

1. What is the GCD of 681, 164, 45, 200?

GCD of 681, 164, 45, 200 is 1


2. Where do I get the detailed procedure to find GCD of 681, 164, 45, 200?

You can find a detailed procedure to find GCD of 681, 164, 45, 200 on our page.


3. How to find GCD of 681, 164, 45, 200 on a calculator?

You can find the GCD of 681, 164, 45, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.