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 numbers 990, 446, 69, 895 is 1
GCD(990, 446, 69, 895) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.