GCD of 243, 378, 972 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 243, 378, 972 quickly. Get the easiest ways to solve the greatest common divisor of 243, 378, 972 i.e 27 in different methods as follows.
Given Input numbers are 243, 378, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
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
GCD of numbers is the greatest common divisor
So, the GCD (243, 378, 972) = 27.
Given numbers are 243, 378, 972
The list of prime factors of all numbers are
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 33
Therefore, GCD of 243, 378, 972 is 27.
Steps to Calculate GCD of 243, 378, 972 using LCM Formula
Given numbers are 243, 378, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(243, 378) = 3402
GCD(243, 378) = ( 243 x 378 ) / 3402
= 243 / 378
= 243
Step2:
LCM(27, 972) = 972
GCD(27, 972) = ( 27 x 972 ) / 972
= 27 / 972
= 27
So, Greatest Common Divisor of 243, 378, 972 is 27
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 243, 378, 972
Given numbers are 243, 378, 972
The greatest common divisor of numbers 243, 378, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 378, 972 is 27.
FAQs on GCD of 243, 378, 972 Calculator
1. What is the GCD of 243, 378, 972?
GCD of given numbers 243, 378, 972 is 27
2. How to calculate the greatest common divisor of 243, 378, 972?
We can find the highest common divisor of 243, 378, 972 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 243, 378, 972 i.e 27.
3. How can I use the GCD of 243, 378, 972Calculator?
Out the numbers 243, 378, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.