GCD of 120, 360, 544 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 120, 360, 544 quickly. Get the easiest ways to solve the greatest common divisor of 120, 360, 544 i.e 8 in different methods as follows.
Given Input numbers are 120, 360, 544
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 544 :
The positive integer divisors of 544 that completely divides 544 are.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
GCD of numbers is the greatest common divisor
So, the GCD (120, 360, 544) = 8.
Given numbers are 120, 360, 544
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17
The highest common occurrence is 23
Therefore, GCD of 120, 360, 544 is 8.
Steps to Calculate GCD of 120, 360, 544 using LCM Formula
Given numbers are 120, 360, 544
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 360) = 360
GCD(120, 360) = ( 120 x 360 ) / 360
= 120 / 360
= 120
Step2:
LCM(120, 544) = 8160
GCD(120, 544) = ( 120 x 544 ) / 8160
= 120 / 544
= 120
So, Greatest Common Divisor of 120, 360, 544 is 8
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 120, 360, 544
Given numbers are 120, 360, 544
The greatest common divisor of numbers 120, 360, 544 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 360, 544 is 8.
FAQs on GCD of 120, 360, 544 Calculator
1. What is the GCD of 120, 360, 544?
GCD of given numbers 120, 360, 544 is 8
2. How to calculate the greatest common divisor of 120, 360, 544?
We can find the highest common divisor of 120, 360, 544 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 120, 360, 544 i.e 8.
3. How can I use the GCD of 120, 360, 544Calculator?
Out the numbers 120, 360, 544 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.