GCD of 432, 420, 364 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 432, 420, 364 quickly. Get the easiest ways to solve the greatest common divisor of 432, 420, 364 i.e 4 in different methods as follows.
Given Input numbers are 432, 420, 364
In the factoring method, we have to find the divisors of all numbers
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
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 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
GCD of numbers is the greatest common divisor
So, the GCD (432, 420, 364) = 4.
Given numbers are 432, 420, 364
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 364 are 2 x 2 x 7 x 13
The highest common occurrence is 22
Therefore, GCD of 432, 420, 364 is 4.
Steps to Calculate GCD of 432, 420, 364 using LCM Formula
Given numbers are 432, 420, 364
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 420) = 15120
GCD(432, 420) = ( 432 x 420 ) / 15120
= 432 / 420
= 432
Step2:
LCM(12, 364) = 1092
GCD(12, 364) = ( 12 x 364 ) / 1092
= 12 / 364
= 12
So, Greatest Common Divisor of 432, 420, 364 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 432, 420, 364
Given numbers are 432, 420, 364
The greatest common divisor of numbers 432, 420, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 420, 364 is 4.
FAQs on GCD of 432, 420, 364 Calculator
1. What is the GCD of 432, 420, 364?
GCD of given numbers 432, 420, 364 is 4
2. How to calculate the greatest common divisor of 432, 420, 364?
We can find the highest common divisor of 432, 420, 364 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 432, 420, 364 i.e 4.
3. How can I use the GCD of 432, 420, 364Calculator?
Out the numbers 432, 420, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.