GCD of 174, 708, 288 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 174, 708, 288 quickly. Get the easiest ways to solve the greatest common divisor of 174, 708, 288 i.e 6 in different methods as follows.
Given Input numbers are 174, 708, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
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 (174, 708, 288) = 6.
Given numbers are 174, 708, 288
The list of prime factors of all numbers are
Prime factors of 174 are 2 x 3 x 29
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 174, 708, 288 is 6.
Steps to Calculate GCD of 174, 708, 288 using LCM Formula
Given numbers are 174, 708, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(174, 708) = 20532
GCD(174, 708) = ( 174 x 708 ) / 20532
= 174 / 708
= 174
Step2:
LCM(6, 288) = 288
GCD(6, 288) = ( 6 x 288 ) / 288
= 6 / 288
= 6
So, Greatest Common Divisor of 174, 708, 288 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 174, 708, 288
Given numbers are 174, 708, 288
The greatest common divisor of numbers 174, 708, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 708, 288 is 6.
FAQs on GCD of 174, 708, 288 Calculator
1. What is the GCD of 174, 708, 288?
GCD of given numbers 174, 708, 288 is 6
2. How to calculate the greatest common divisor of 174, 708, 288?
We can find the highest common divisor of 174, 708, 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 174, 708, 288 i.e 6.
3. How can I use the GCD of 174, 708, 288Calculator?
Out the numbers 174, 708, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.