GCD of 450, 936, 540 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 450, 936, 540 quickly. Get the easiest ways to solve the greatest common divisor of 450, 936, 540 i.e 18 in different methods as follows.
Given Input numbers are 450, 936, 540
In the factoring method, we have to find the divisors of all numbers
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
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 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
GCD of numbers is the greatest common divisor
So, the GCD (450, 936, 540) = 18.
Given numbers are 450, 936, 540
The list of prime factors of all numbers are
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
The highest common occurrence is 21 x 32
Therefore, GCD of 450, 936, 540 is 18.
Steps to Calculate GCD of 450, 936, 540 using LCM Formula
Given numbers are 450, 936, 540
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(450, 936) = 23400
GCD(450, 936) = ( 450 x 936 ) / 23400
= 450 / 936
= 450
Step2:
LCM(18, 540) = 540
GCD(18, 540) = ( 18 x 540 ) / 540
= 18 / 540
= 18
So, Greatest Common Divisor of 450, 936, 540 is 18
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 450, 936, 540
Given numbers are 450, 936, 540
The greatest common divisor of numbers 450, 936, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 936, 540 is 18.
FAQs on GCD of 450, 936, 540 Calculator
1. What is the GCD of 450, 936, 540?
GCD of given numbers 450, 936, 540 is 18
2. How to calculate the greatest common divisor of 450, 936, 540?
We can find the highest common divisor of 450, 936, 540 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 450, 936, 540 i.e 18.
3. How can I use the GCD of 450, 936, 540Calculator?
Out the numbers 450, 936, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.