GCD of 990, 446, 69, 895 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 990, 446, 69, 895 i.e. 1 largest integer that divides all the numbers equally.

GCD of 990, 446, 69, 895 is 1

GCD(990, 446, 69, 895) = 1

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

GCD of

GCD of numbers 990, 446, 69, 895 is 1

GCD(990, 446, 69, 895) = 1

GCD of 990,446,69,895 Calculator

GCDof 990,446,69,895 is 1

Given Input numbers are 990, 446, 69, 895

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Greatest Common Divisior

We found the divisors of 990, 446, 69, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 446, 69, 895 is 1.

Therefore, GCD of numbers 990, 446, 69, 895 is 1

Finding GCD of 990, 446, 69, 895 using Prime Factorization

Given Input Data is 990, 446, 69, 895

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 446 is 2 x 223

Prime Factorization of 69 is 3 x 23

Prime Factorization of 895 is 5 x 179

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

Finding GCD of 990, 446, 69, 895 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(990, 446) = 220770

GCD(990, 446) = ( 990 x 446 ) / 220770

GCD(990, 446) = 441540 / 220770

GCD(990, 446) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 895

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

LCM(1, 895) = 895

GCD(1, 895) = ( 1 x 895 ) / 895

GCD(1, 895) = 895 / 895

GCD(1, 895) = 1

GCD of 990, 446, 69, 895 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 990, 446, 69, 895

1. What is the GCD of 990, 446, 69, 895?

GCD of 990, 446, 69, 895 is 1


2. Where do I get the detailed procedure to find GCD of 990, 446, 69, 895?

You can find a detailed procedure to find GCD of 990, 446, 69, 895 on our page.


3. How to find GCD of 990, 446, 69, 895 on a calculator?

You can find the GCD of 990, 446, 69, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.