GCD of 500, 238, 408 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 500, 238, 408 quickly. Get the easiest ways to solve the greatest common divisor of 500, 238, 408 i.e 2 in different methods as follows.
Given Input numbers are 500, 238, 408
In the factoring method, we have to find the divisors of all numbers
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
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 (500, 238, 408) = 2.
Given numbers are 500, 238, 408
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 238 are 2 x 7 x 17
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 500, 238, 408 is 2.
Steps to Calculate GCD of 500, 238, 408 using LCM Formula
Given numbers are 500, 238, 408
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 238) = 59500
GCD(500, 238) = ( 500 x 238 ) / 59500
= 500 / 238
= 500
Step2:
LCM(2, 408) = 408
GCD(2, 408) = ( 2 x 408 ) / 408
= 2 / 408
= 2
So, Greatest Common Divisor of 500, 238, 408 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 500, 238, 408
Given numbers are 500, 238, 408
The greatest common divisor of numbers 500, 238, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 238, 408 is 2.
FAQs on GCD of 500, 238, 408 Calculator
1. What is the GCD of 500, 238, 408?
GCD of given numbers 500, 238, 408 is 2
2. How to calculate the greatest common divisor of 500, 238, 408?
We can find the highest common divisor of 500, 238, 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 500, 238, 408 i.e 2.
3. How can I use the GCD of 500, 238, 408Calculator?
Out the numbers 500, 238, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.