GCD of 126, 144, 120 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 126, 144, 120 quickly. Get the easiest ways to solve the greatest common divisor of 126, 144, 120 i.e 6 in different methods as follows.
Given Input numbers are 126, 144, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (126, 144, 120) = 6.
Given numbers are 126, 144, 120
The list of prime factors of all numbers are
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21 x 31
Therefore, GCD of 126, 144, 120 is 6.
Steps to Calculate GCD of 126, 144, 120 using LCM Formula
Given numbers are 126, 144, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(126, 144) = 1008
GCD(126, 144) = ( 126 x 144 ) / 1008
= 126 / 144
= 126
Step2:
LCM(18, 120) = 360
GCD(18, 120) = ( 18 x 120 ) / 360
= 18 / 120
= 18
So, Greatest Common Divisor of 126, 144, 120 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 126, 144, 120
Given numbers are 126, 144, 120
The greatest common divisor of numbers 126, 144, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 144, 120 is 6.
FAQs on GCD of 126, 144, 120 Calculator
1. What is the GCD of 126, 144, 120?
GCD of given numbers 126, 144, 120 is 6
2. How to calculate the greatest common divisor of 126, 144, 120?
We can find the highest common divisor of 126, 144, 120 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 126, 144, 120 i.e 6.
3. How can I use the GCD of 126, 144, 120Calculator?
Out the numbers 126, 144, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.