GCD of 120, 688, 608 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 120, 688, 608 quickly. Get the easiest ways to solve the greatest common divisor of 120, 688, 608 i.e 8 in different methods as follows.
Given Input numbers are 120, 688, 608
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
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 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 (120, 688, 608) = 8.
Given numbers are 120, 688, 608
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
The highest common occurrence is 23
Therefore, GCD of 120, 688, 608 is 8.
Steps to Calculate GCD of 120, 688, 608 using LCM Formula
Given numbers are 120, 688, 608
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 688) = 10320
GCD(120, 688) = ( 120 x 688 ) / 10320
= 120 / 688
= 120
Step2:
LCM(8, 608) = 608
GCD(8, 608) = ( 8 x 608 ) / 608
= 8 / 608
= 8
So, Greatest Common Divisor of 120, 688, 608 is 8
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 120, 688, 608
Given numbers are 120, 688, 608
The greatest common divisor of numbers 120, 688, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 688, 608 is 8.
FAQs on GCD of 120, 688, 608 Calculator
1. What is the GCD of 120, 688, 608?
GCD of given numbers 120, 688, 608 is 8
2. How to calculate the greatest common divisor of 120, 688, 608?
We can find the highest common divisor of 120, 688, 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 120, 688, 608 i.e 8.
3. How can I use the GCD of 120, 688, 608Calculator?
Out the numbers 120, 688, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.