GCD of 506, 688, 238 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 506, 688, 238 quickly. Get the easiest ways to solve the greatest common divisor of 506, 688, 238 i.e 2 in different methods as follows.
Given Input numbers are 506, 688, 238
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 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
GCD of numbers is the greatest common divisor
So, the GCD (506, 688, 238) = 2.
Given numbers are 506, 688, 238
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 238 are 2 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 506, 688, 238 is 2.
Steps to Calculate GCD of 506, 688, 238 using LCM Formula
Given numbers are 506, 688, 238
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, 238) = 238
GCD(2, 238) = ( 2 x 238 ) / 238
= 2 / 238
= 2
So, Greatest Common Divisor of 506, 688, 238 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 506, 688, 238
Given numbers are 506, 688, 238
The greatest common divisor of numbers 506, 688, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 688, 238 is 2.
FAQs on GCD of 506, 688, 238 Calculator
1. What is the GCD of 506, 688, 238?
GCD of given numbers 506, 688, 238 is 2
2. How to calculate the greatest common divisor of 506, 688, 238?
We can find the highest common divisor of 506, 688, 238 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, 238 i.e 2.
3. How can I use the GCD of 506, 688, 238Calculator?
Out the numbers 506, 688, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.