GCD of 616, 660, 918 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 616, 660, 918 quickly. Get the easiest ways to solve the greatest common divisor of 616, 660, 918 i.e 2 in different methods as follows.
Given Input numbers are 616, 660, 918
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 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
GCD of numbers is the greatest common divisor
So, the GCD (616, 660, 918) = 2.
Given numbers are 616, 660, 918
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 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 616, 660, 918 is 2.
Steps to Calculate GCD of 616, 660, 918 using LCM Formula
Given numbers are 616, 660, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(616, 660) = 9240
GCD(616, 660) = ( 616 x 660 ) / 9240
= 616 / 660
= 616
Step2:
LCM(44, 918) = 20196
GCD(44, 918) = ( 44 x 918 ) / 20196
= 44 / 918
= 44
So, Greatest Common Divisor of 616, 660, 918 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 616, 660, 918
Given numbers are 616, 660, 918
The greatest common divisor of numbers 616, 660, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 660, 918 is 2.
FAQs on GCD of 616, 660, 918 Calculator
1. What is the GCD of 616, 660, 918?
GCD of given numbers 616, 660, 918 is 2
2. How to calculate the greatest common divisor of 616, 660, 918?
We can find the highest common divisor of 616, 660, 918 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, 660, 918 i.e 2.
3. How can I use the GCD of 616, 660, 918Calculator?
Out the numbers 616, 660, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.