GCD of 990, 718, 582 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 990, 718, 582 quickly. Get the easiest ways to solve the greatest common divisor of 990, 718, 582 i.e 2 in different methods as follows.
Given Input numbers are 990, 718, 582
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
Divisors of 582 :
The positive integer divisors of 582 that completely divides 582 are.
1, 2, 3, 6, 97, 194, 291, 582
GCD of numbers is the greatest common divisor
So, the GCD (990, 718, 582) = 2.
Given numbers are 990, 718, 582
The list of prime factors of all numbers are
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 718 are 2 x 359
Prime factors of 582 are 2 x 3 x 97
The highest common occurrence is 21
Therefore, GCD of 990, 718, 582 is 2.
Steps to Calculate GCD of 990, 718, 582 using LCM Formula
Given numbers are 990, 718, 582
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 718) = 355410
GCD(990, 718) = ( 990 x 718 ) / 355410
= 990 / 718
= 990
Step2:
LCM(2, 582) = 582
GCD(2, 582) = ( 2 x 582 ) / 582
= 2 / 582
= 2
So, Greatest Common Divisor of 990, 718, 582 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 990, 718, 582
Given numbers are 990, 718, 582
The greatest common divisor of numbers 990, 718, 582 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 718, 582 is 2.
FAQs on GCD of 990, 718, 582 Calculator
1. What is the GCD of 990, 718, 582?
GCD of given numbers 990, 718, 582 is 2
2. How to calculate the greatest common divisor of 990, 718, 582?
We can find the highest common divisor of 990, 718, 582 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 990, 718, 582 i.e 2.
3. How can I use the GCD of 990, 718, 582Calculator?
Out the numbers 990, 718, 582 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.