GCD of 112, 138, 288 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 112, 138, 288 quickly. Get the easiest ways to solve the greatest common divisor of 112, 138, 288 i.e 2 in different methods as follows.
Given Input numbers are 112, 138, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
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 (112, 138, 288) = 2.
Given numbers are 112, 138, 288
The list of prime factors of all numbers are
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 138 are 2 x 3 x 23
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 112, 138, 288 is 2.
Steps to Calculate GCD of 112, 138, 288 using LCM Formula
Given numbers are 112, 138, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 138) = 7728
GCD(112, 138) = ( 112 x 138 ) / 7728
= 112 / 138
= 112
Step2:
LCM(2, 288) = 288
GCD(2, 288) = ( 2 x 288 ) / 288
= 2 / 288
= 2
So, Greatest Common Divisor of 112, 138, 288 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 112, 138, 288
Given numbers are 112, 138, 288
The greatest common divisor of numbers 112, 138, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 138, 288 is 2.
FAQs on GCD of 112, 138, 288 Calculator
1. What is the GCD of 112, 138, 288?
GCD of given numbers 112, 138, 288 is 2
2. How to calculate the greatest common divisor of 112, 138, 288?
We can find the highest common divisor of 112, 138, 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 112, 138, 288 i.e 2.
3. How can I use the GCD of 112, 138, 288Calculator?
Out the numbers 112, 138, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.