GCD of 616, 484, 990 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 616, 484, 990 quickly. Get the easiest ways to solve the greatest common divisor of 616, 484, 990 i.e 22 in different methods as follows.
Given Input numbers are 616, 484, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
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 (616, 484, 990) = 22.
Given numbers are 616, 484, 990
The list of prime factors of all numbers are
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The highest common occurrence is 111 x 21
Therefore, GCD of 616, 484, 990 is 22.
Steps to Calculate GCD of 616, 484, 990 using LCM Formula
Given numbers are 616, 484, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(616, 484) = 6776
GCD(616, 484) = ( 616 x 484 ) / 6776
= 616 / 484
= 616
Step2:
LCM(44, 990) = 1980
GCD(44, 990) = ( 44 x 990 ) / 1980
= 44 / 990
= 44
So, Greatest Common Divisor of 616, 484, 990 is 22
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 616, 484, 990
Given numbers are 616, 484, 990
The greatest common divisor of numbers 616, 484, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 484, 990 is 22.
FAQs on GCD of 616, 484, 990 Calculator
1. What is the GCD of 616, 484, 990?
GCD of given numbers 616, 484, 990 is 22
2. How to calculate the greatest common divisor of 616, 484, 990?
We can find the highest common divisor of 616, 484, 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 616, 484, 990 i.e 22.
3. How can I use the GCD of 616, 484, 990Calculator?
Out the numbers 616, 484, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.