GCD of 936, 420, 408 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 936, 420, 408 quickly. Get the easiest ways to solve the greatest common divisor of 936, 420, 408 i.e 12 in different methods as follows.
Given Input numbers are 936, 420, 408
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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
GCD of numbers is the greatest common divisor
So, the GCD (936, 420, 408) = 12.
Given numbers are 936, 420, 408
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 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
The highest common occurrence is 22 x 31
Therefore, GCD of 936, 420, 408 is 12.
Steps to Calculate GCD of 936, 420, 408 using LCM Formula
Given numbers are 936, 420, 408
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(936, 420) = 32760
GCD(936, 420) = ( 936 x 420 ) / 32760
= 936 / 420
= 936
Step2:
LCM(12, 408) = 408
GCD(12, 408) = ( 12 x 408 ) / 408
= 12 / 408
= 12
So, Greatest Common Divisor of 936, 420, 408 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 936, 420, 408
Given numbers are 936, 420, 408
The greatest common divisor of numbers 936, 420, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 420, 408 is 12.
FAQs on GCD of 936, 420, 408 Calculator
1. What is the GCD of 936, 420, 408?
GCD of given numbers 936, 420, 408 is 12
2. How to calculate the greatest common divisor of 936, 420, 408?
We can find the highest common divisor of 936, 420, 408 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, 420, 408 i.e 12.
3. How can I use the GCD of 936, 420, 408Calculator?
Out the numbers 936, 420, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.