GCD of 446, 400, 990 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 446, 400, 990 quickly. Get the easiest ways to solve the greatest common divisor of 446, 400, 990 i.e 2 in different methods as follows.
Given Input numbers are 446, 400, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
GCD of numbers is the greatest common divisor
So, the GCD (446, 400, 990) = 2.
Given numbers are 446, 400, 990
The list of prime factors of all numbers are
Prime factors of 446 are 2 x 223
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 446, 400, 990 is 2.
Steps to Calculate GCD of 446, 400, 990 using LCM Formula
Given numbers are 446, 400, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(446, 400) = 89200
GCD(446, 400) = ( 446 x 400 ) / 89200
= 446 / 400
= 446
Step2:
LCM(2, 990) = 990
GCD(2, 990) = ( 2 x 990 ) / 990
= 2 / 990
= 2
So, Greatest Common Divisor of 446, 400, 990 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 446, 400, 990
Given numbers are 446, 400, 990
The greatest common divisor of numbers 446, 400, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 446, 400, 990 is 2.
FAQs on GCD of 446, 400, 990 Calculator
1. What is the GCD of 446, 400, 990?
GCD of given numbers 446, 400, 990 is 2
2. How to calculate the greatest common divisor of 446, 400, 990?
We can find the highest common divisor of 446, 400, 990 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 446, 400, 990 i.e 2.
3. How can I use the GCD of 446, 400, 990Calculator?
Out the numbers 446, 400, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.