GCD of 120, 936, 588 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 120, 936, 588 quickly. Get the easiest ways to solve the greatest common divisor of 120, 936, 588 i.e 12 in different methods as follows.
Given Input numbers are 120, 936, 588
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 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
GCD of numbers is the greatest common divisor
So, the GCD (120, 936, 588) = 12.
Given numbers are 120, 936, 588
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 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
The highest common occurrence is 22 x 31
Therefore, GCD of 120, 936, 588 is 12.
Steps to Calculate GCD of 120, 936, 588 using LCM Formula
Given numbers are 120, 936, 588
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 936) = 4680
GCD(120, 936) = ( 120 x 936 ) / 4680
= 120 / 936
= 120
Step2:
LCM(24, 588) = 1176
GCD(24, 588) = ( 24 x 588 ) / 1176
= 24 / 588
= 24
So, Greatest Common Divisor of 120, 936, 588 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 120, 936, 588
Given numbers are 120, 936, 588
The greatest common divisor of numbers 120, 936, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 936, 588 is 12.
FAQs on GCD of 120, 936, 588 Calculator
1. What is the GCD of 120, 936, 588?
GCD of given numbers 120, 936, 588 is 12
2. How to calculate the greatest common divisor of 120, 936, 588?
We can find the highest common divisor of 120, 936, 588 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, 936, 588 i.e 12.
3. How can I use the GCD of 120, 936, 588Calculator?
Out the numbers 120, 936, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.