GCD of 656, 688, 288 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 656, 688, 288 quickly. Get the easiest ways to solve the greatest common divisor of 656, 688, 288 i.e 16 in different methods as follows.
Given Input numbers are 656, 688, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (656, 688, 288) = 16.
Given numbers are 656, 688, 288
The list of prime factors of all numbers are
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 24
Therefore, GCD of 656, 688, 288 is 16.
Steps to Calculate GCD of 656, 688, 288 using LCM Formula
Given numbers are 656, 688, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(656, 688) = 28208
GCD(656, 688) = ( 656 x 688 ) / 28208
= 656 / 688
= 656
Step2:
LCM(16, 288) = 288
GCD(16, 288) = ( 16 x 288 ) / 288
= 16 / 288
= 16
So, Greatest Common Divisor of 656, 688, 288 is 16
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 656, 688, 288
Given numbers are 656, 688, 288
The greatest common divisor of numbers 656, 688, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 656, 688, 288 is 16.
FAQs on GCD of 656, 688, 288 Calculator
1. What is the GCD of 656, 688, 288?
GCD of given numbers 656, 688, 288 is 16
2. How to calculate the greatest common divisor of 656, 688, 288?
We can find the highest common divisor of 656, 688, 288 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 656, 688, 288 i.e 16.
3. How can I use the GCD of 656, 688, 288Calculator?
Out the numbers 656, 688, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.