GCD of 898, 166, 83, 378 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 898, 166, 83, 378 i.e. 1 largest integer that divides all the numbers equally.

GCD of 898, 166, 83, 378 is 1

GCD(898, 166, 83, 378) = 1

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

GCD of

GCD of numbers 898, 166, 83, 378 is 1

GCD(898, 166, 83, 378) = 1

GCD of 898,166,83,378 Calculator

GCDof 898,166,83,378 is 1

Given Input numbers are 898, 166, 83, 378

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

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

Greatest Common Divisior

We found the divisors of 898, 166, 83, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 166, 83, 378 is 1.

Therefore, GCD of numbers 898, 166, 83, 378 is 1

Finding GCD of 898, 166, 83, 378 using Prime Factorization

Given Input Data is 898, 166, 83, 378

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 166 is 2 x 83

Prime Factorization of 83 is 83

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

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

Finding GCD of 898, 166, 83, 378 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(898, 166) = 74534

GCD(898, 166) = ( 898 x 166 ) / 74534

GCD(898, 166) = 149068 / 74534

GCD(898, 166) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

GCD of 898, 166, 83, 378 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 898, 166, 83, 378

1. What is the GCD of 898, 166, 83, 378?

GCD of 898, 166, 83, 378 is 1


2. Where do I get the detailed procedure to find GCD of 898, 166, 83, 378?

You can find a detailed procedure to find GCD of 898, 166, 83, 378 on our page.


3. How to find GCD of 898, 166, 83, 378 on a calculator?

You can find the GCD of 898, 166, 83, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.