GCD of 506, 688, 174 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 506, 688, 174 quickly. Get the easiest ways to solve the greatest common divisor of 506, 688, 174 i.e 2 in different methods as follows.
Given Input numbers are 506, 688, 174
In the factoring method, we have to find the divisors of all numbers
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
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 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
GCD of numbers is the greatest common divisor
So, the GCD (506, 688, 174) = 2.
Given numbers are 506, 688, 174
The list of prime factors of all numbers are
Prime factors of 506 are 2 x 11 x 23
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 174 are 2 x 3 x 29
The highest common occurrence is 21
Therefore, GCD of 506, 688, 174 is 2.
Steps to Calculate GCD of 506, 688, 174 using LCM Formula
Given numbers are 506, 688, 174
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(506, 688) = 174064
GCD(506, 688) = ( 506 x 688 ) / 174064
= 506 / 688
= 506
Step2:
LCM(2, 174) = 174
GCD(2, 174) = ( 2 x 174 ) / 174
= 2 / 174
= 2
So, Greatest Common Divisor of 506, 688, 174 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 506, 688, 174
Given numbers are 506, 688, 174
The greatest common divisor of numbers 506, 688, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 688, 174 is 2.
FAQs on GCD of 506, 688, 174 Calculator
1. What is the GCD of 506, 688, 174?
GCD of given numbers 506, 688, 174 is 2
2. How to calculate the greatest common divisor of 506, 688, 174?
We can find the highest common divisor of 506, 688, 174 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 506, 688, 174 i.e 2.
3. How can I use the GCD of 506, 688, 174Calculator?
Out the numbers 506, 688, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.