GCD of 888, 138, 214 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 888, 138, 214 quickly. Get the easiest ways to solve the greatest common divisor of 888, 138, 214 i.e 2 in different methods as follows.
Given Input numbers are 888, 138, 214
In the factoring method, we have to find the divisors of all numbers
Divisors of 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
GCD of numbers is the greatest common divisor
So, the GCD (888, 138, 214) = 2.
Given numbers are 888, 138, 214
The list of prime factors of all numbers are
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 138 are 2 x 3 x 23
Prime factors of 214 are 2 x 107
The highest common occurrence is 21
Therefore, GCD of 888, 138, 214 is 2.
Steps to Calculate GCD of 888, 138, 214 using LCM Formula
Given numbers are 888, 138, 214
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(888, 138) = 20424
GCD(888, 138) = ( 888 x 138 ) / 20424
= 888 / 138
= 888
Step2:
LCM(6, 214) = 642
GCD(6, 214) = ( 6 x 214 ) / 642
= 6 / 214
= 6
So, Greatest Common Divisor of 888, 138, 214 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 888, 138, 214
Given numbers are 888, 138, 214
The greatest common divisor of numbers 888, 138, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 888, 138, 214 is 2.
FAQs on GCD of 888, 138, 214 Calculator
1. What is the GCD of 888, 138, 214?
GCD of given numbers 888, 138, 214 is 2
2. How to calculate the greatest common divisor of 888, 138, 214?
We can find the highest common divisor of 888, 138, 214 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 888, 138, 214 i.e 2.
3. How can I use the GCD of 888, 138, 214Calculator?
Out the numbers 888, 138, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.