GCD of 688, 272, 408 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 688, 272, 408 quickly. Get the easiest ways to solve the greatest common divisor of 688, 272, 408 i.e 8 in different methods as follows.
Given Input numbers are 688, 272, 408
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 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
GCD of numbers is the greatest common divisor
So, the GCD (688, 272, 408) = 8.
Given numbers are 688, 272, 408
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 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
The highest common occurrence is 23
Therefore, GCD of 688, 272, 408 is 8.
Steps to Calculate GCD of 688, 272, 408 using LCM Formula
Given numbers are 688, 272, 408
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(688, 272) = 11696
GCD(688, 272) = ( 688 x 272 ) / 11696
= 688 / 272
= 688
Step2:
LCM(16, 408) = 816
GCD(16, 408) = ( 16 x 408 ) / 816
= 16 / 408
= 16
So, Greatest Common Divisor of 688, 272, 408 is 8
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 688, 272, 408
Given numbers are 688, 272, 408
The greatest common divisor of numbers 688, 272, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 272, 408 is 8.
FAQs on GCD of 688, 272, 408 Calculator
1. What is the GCD of 688, 272, 408?
GCD of given numbers 688, 272, 408 is 8
2. How to calculate the greatest common divisor of 688, 272, 408?
We can find the highest common divisor of 688, 272, 408 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, 272, 408 i.e 8.
3. How can I use the GCD of 688, 272, 408Calculator?
Out the numbers 688, 272, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.