GCD of 378, 199, 201, 699 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 378, 199, 201, 699 i.e. 1 largest integer that divides all the numbers equally.

GCD of 378, 199, 201, 699 is 1

GCD(378, 199, 201, 699) = 1

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

GCD of

GCD of numbers 378, 199, 201, 699 is 1

GCD(378, 199, 201, 699) = 1

GCD of 378,199,201,699 Calculator

GCDof 378,199,201,699 is 1

Given Input numbers are 378, 199, 201, 699

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 378, 199, 201, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 199, 201, 699 is 1.

Therefore, GCD of numbers 378, 199, 201, 699 is 1

Finding GCD of 378, 199, 201, 699 using Prime Factorization

Given Input Data is 378, 199, 201, 699

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 199 is 199

Prime Factorization of 201 is 3 x 67

Prime Factorization of 699 is 3 x 233

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

Finding GCD of 378, 199, 201, 699 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(378, 199) = 75222

GCD(378, 199) = ( 378 x 199 ) / 75222

GCD(378, 199) = 75222 / 75222

GCD(378, 199) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 201

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

LCM(1, 201) = 201

GCD(1, 201) = ( 1 x 201 ) / 201

GCD(1, 201) = 201 / 201

GCD(1, 201) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 378, 199, 201, 699 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 378, 199, 201, 699

1. What is the GCD of 378, 199, 201, 699?

GCD of 378, 199, 201, 699 is 1


2. Where do I get the detailed procedure to find GCD of 378, 199, 201, 699?

You can find a detailed procedure to find GCD of 378, 199, 201, 699 on our page.


3. How to find GCD of 378, 199, 201, 699 on a calculator?

You can find the GCD of 378, 199, 201, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.