GCD of 438, 600, 32 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 438, 600, 32 quickly. Get the easiest ways to solve the greatest common divisor of 438, 600, 32 i.e 2 in different methods as follows.
Given Input numbers are 438, 600, 32
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 32 :
The positive integer divisors of 32 that completely divides 32 are.
1, 2, 4, 8, 16, 32
GCD of numbers is the greatest common divisor
So, the GCD (438, 600, 32) = 2.
Given numbers are 438, 600, 32
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 32 are 2 x 2 x 2 x 2 x 2
The highest common occurrence is 21
Therefore, GCD of 438, 600, 32 is 2.
Steps to Calculate GCD of 438, 600, 32 using LCM Formula
Given numbers are 438, 600, 32
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 600) = 43800
GCD(438, 600) = ( 438 x 600 ) / 43800
= 438 / 600
= 438
Step2:
LCM(6, 32) = 96
GCD(6, 32) = ( 6 x 32 ) / 96
= 6 / 32
= 6
So, Greatest Common Divisor of 438, 600, 32 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 438, 600, 32
Given numbers are 438, 600, 32
The greatest common divisor of numbers 438, 600, 32 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 600, 32 is 2.
FAQs on GCD of 438, 600, 32 Calculator
1. What is the GCD of 438, 600, 32?
GCD of given numbers 438, 600, 32 is 2
2. How to calculate the greatest common divisor of 438, 600, 32?
We can find the highest common divisor of 438, 600, 32 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 438, 600, 32 i.e 2.
3. How can I use the GCD of 438, 600, 32Calculator?
Out the numbers 438, 600, 32 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.