GCD of 936, 288, 462 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 936, 288, 462 quickly. Get the easiest ways to solve the greatest common divisor of 936, 288, 462 i.e 6 in different methods as follows.
Given Input numbers are 936, 288, 462
In the factoring method, we have to find the divisors of all numbers
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 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
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
GCD of numbers is the greatest common divisor
So, the GCD (936, 288, 462) = 6.
Given numbers are 936, 288, 462
The list of prime factors of all numbers are
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 462 are 2 x 3 x 7 x 11
The highest common occurrence is 21 x 31
Therefore, GCD of 936, 288, 462 is 6.
Steps to Calculate GCD of 936, 288, 462 using LCM Formula
Given numbers are 936, 288, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(936, 288) = 3744
GCD(936, 288) = ( 936 x 288 ) / 3744
= 936 / 288
= 936
Step2:
LCM(72, 462) = 5544
GCD(72, 462) = ( 72 x 462 ) / 5544
= 72 / 462
= 72
So, Greatest Common Divisor of 936, 288, 462 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 936, 288, 462
Given numbers are 936, 288, 462
The greatest common divisor of numbers 936, 288, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 288, 462 is 6.
FAQs on GCD of 936, 288, 462 Calculator
1. What is the GCD of 936, 288, 462?
GCD of given numbers 936, 288, 462 is 6
2. How to calculate the greatest common divisor of 936, 288, 462?
We can find the highest common divisor of 936, 288, 462 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 936, 288, 462 i.e 6.
3. How can I use the GCD of 936, 288, 462Calculator?
Out the numbers 936, 288, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.