GCD of 972, 216, 540 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 972, 216, 540 quickly. Get the easiest ways to solve the greatest common divisor of 972, 216, 540 i.e 108 in different methods as follows.
Given Input numbers are 972, 216, 540
In the factoring method, we have to find the divisors of all numbers
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
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 (972, 216, 540) = 108.
Given numbers are 972, 216, 540
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
The highest common occurrence is 22 x 33
Therefore, GCD of 972, 216, 540 is 108.
Steps to Calculate GCD of 972, 216, 540 using LCM Formula
Given numbers are 972, 216, 540
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 216) = 1944
GCD(972, 216) = ( 972 x 216 ) / 1944
= 972 / 216
= 972
Step2:
LCM(108, 540) = 540
GCD(108, 540) = ( 108 x 540 ) / 540
= 108 / 540
= 108
So, Greatest Common Divisor of 972, 216, 540 is 108
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 972, 216, 540
Given numbers are 972, 216, 540
The greatest common divisor of numbers 972, 216, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 216, 540 is 108.
FAQs on GCD of 972, 216, 540 Calculator
1. What is the GCD of 972, 216, 540?
GCD of given numbers 972, 216, 540 is 108
2. How to calculate the greatest common divisor of 972, 216, 540?
We can find the highest common divisor of 972, 216, 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 972, 216, 540 i.e 108.
3. How can I use the GCD of 972, 216, 540Calculator?
Out the numbers 972, 216, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.