GCD of 688, 832, 608 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 688, 832, 608 quickly. Get the easiest ways to solve the greatest common divisor of 688, 832, 608 i.e 16 in different methods as follows.
Given Input numbers are 688, 832, 608
In the factoring method, we have to find the divisors of all numbers
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 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
GCD of numbers is the greatest common divisor
So, the GCD (688, 832, 608) = 16.
Given numbers are 688, 832, 608
The list of prime factors of all numbers are
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
The highest common occurrence is 24
Therefore, GCD of 688, 832, 608 is 16.
Steps to Calculate GCD of 688, 832, 608 using LCM Formula
Given numbers are 688, 832, 608
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(688, 832) = 35776
GCD(688, 832) = ( 688 x 832 ) / 35776
= 688 / 832
= 688
Step2:
LCM(16, 608) = 608
GCD(16, 608) = ( 16 x 608 ) / 608
= 16 / 608
= 16
So, Greatest Common Divisor of 688, 832, 608 is 16
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 688, 832, 608
Given numbers are 688, 832, 608
The greatest common divisor of numbers 688, 832, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 832, 608 is 16.
FAQs on GCD of 688, 832, 608 Calculator
1. What is the GCD of 688, 832, 608?
GCD of given numbers 688, 832, 608 is 16
2. How to calculate the greatest common divisor of 688, 832, 608?
We can find the highest common divisor of 688, 832, 608 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 688, 832, 608 i.e 16.
3. How can I use the GCD of 688, 832, 608Calculator?
Out the numbers 688, 832, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.