GCD of 119, 400, 890 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 119, 400, 890 i.e. 1 largest integer that divides all the numbers equally.

GCD of 119, 400, 890 is 1

GCD(119, 400, 890) = 1

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

GCD of

GCD of numbers 119, 400, 890 is 1

GCD(119, 400, 890) = 1

GCD of 119,400,890 Calculator

GCDof 119,400,890 is 1

Given Input numbers are 119, 400, 890

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

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 119, 400, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 400, 890 is 1.

Therefore, GCD of numbers 119, 400, 890 is 1

Finding GCD of 119, 400, 890 using Prime Factorization

Given Input Data is 119, 400, 890

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 890 is 2 x 5 x 89

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

Finding GCD of 119, 400, 890 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(119, 400) = 47600

GCD(119, 400) = ( 119 x 400 ) / 47600

GCD(119, 400) = 47600 / 47600

GCD(119, 400) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

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

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1

GCD of 119, 400, 890 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 119, 400, 890

1. What is the GCD of 119, 400, 890?

GCD of 119, 400, 890 is 1


2. Where do I get the detailed procedure to find GCD of 119, 400, 890?

You can find a detailed procedure to find GCD of 119, 400, 890 on our page.


3. How to find GCD of 119, 400, 890 on a calculator?

You can find the GCD of 119, 400, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.