GCD of 616, 266, 960 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 616, 266, 960 quickly. Get the easiest ways to solve the greatest common divisor of 616, 266, 960 i.e 2 in different methods as follows.
Given Input numbers are 616, 266, 960
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 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (616, 266, 960) = 2.
Given numbers are 616, 266, 960
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 266 are 2 x 7 x 19
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 616, 266, 960 is 2.
Steps to Calculate GCD of 616, 266, 960 using LCM Formula
Given numbers are 616, 266, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(616, 266) = 11704
GCD(616, 266) = ( 616 x 266 ) / 11704
= 616 / 266
= 616
Step2:
LCM(14, 960) = 6720
GCD(14, 960) = ( 14 x 960 ) / 6720
= 14 / 960
= 14
So, Greatest Common Divisor of 616, 266, 960 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 616, 266, 960
Given numbers are 616, 266, 960
The greatest common divisor of numbers 616, 266, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 266, 960 is 2.
FAQs on GCD of 616, 266, 960 Calculator
1. What is the GCD of 616, 266, 960?
GCD of given numbers 616, 266, 960 is 2
2. How to calculate the greatest common divisor of 616, 266, 960?
We can find the highest common divisor of 616, 266, 960 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, 266, 960 i.e 2.
3. How can I use the GCD of 616, 266, 960Calculator?
Out the numbers 616, 266, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.