GCD of 288, 849, 972 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 288, 849, 972 quickly. Get the easiest ways to solve the greatest common divisor of 288, 849, 972 i.e 3 in different methods as follows.
Given Input numbers are 288, 849, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
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 (288, 849, 972) = 3.
Given numbers are 288, 849, 972
The list of prime factors of all numbers are
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 849 are 3 x 283
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 288, 849, 972 is 3.
Steps to Calculate GCD of 288, 849, 972 using LCM Formula
Given numbers are 288, 849, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(288, 849) = 81504
GCD(288, 849) = ( 288 x 849 ) / 81504
= 288 / 849
= 288
Step2:
LCM(3, 972) = 972
GCD(3, 972) = ( 3 x 972 ) / 972
= 3 / 972
= 3
So, Greatest Common Divisor of 288, 849, 972 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 288, 849, 972
Given numbers are 288, 849, 972
The greatest common divisor of numbers 288, 849, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 849, 972 is 3.
FAQs on GCD of 288, 849, 972 Calculator
1. What is the GCD of 288, 849, 972?
GCD of given numbers 288, 849, 972 is 3
2. How to calculate the greatest common divisor of 288, 849, 972?
We can find the highest common divisor of 288, 849, 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 288, 849, 972 i.e 3.
3. How can I use the GCD of 288, 849, 972Calculator?
Out the numbers 288, 849, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.