GCD of 144, 738, 993 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 144, 738, 993 quickly. Get the easiest ways to solve the greatest common divisor of 144, 738, 993 i.e 3 in different methods as follows.
Given Input numbers are 144, 738, 993
In the factoring method, we have to find the divisors of all numbers
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
GCD of numbers is the greatest common divisor
So, the GCD (144, 738, 993) = 3.
Given numbers are 144, 738, 993
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 993 are 3 x 331
The highest common occurrence is 31
Therefore, GCD of 144, 738, 993 is 3.
Steps to Calculate GCD of 144, 738, 993 using LCM Formula
Given numbers are 144, 738, 993
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 738) = 5904
GCD(144, 738) = ( 144 x 738 ) / 5904
= 144 / 738
= 144
Step2:
LCM(18, 993) = 5958
GCD(18, 993) = ( 18 x 993 ) / 5958
= 18 / 993
= 18
So, Greatest Common Divisor of 144, 738, 993 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 144, 738, 993
Given numbers are 144, 738, 993
The greatest common divisor of numbers 144, 738, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 738, 993 is 3.
FAQs on GCD of 144, 738, 993 Calculator
1. What is the GCD of 144, 738, 993?
GCD of given numbers 144, 738, 993 is 3
2. How to calculate the greatest common divisor of 144, 738, 993?
We can find the highest common divisor of 144, 738, 993 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 144, 738, 993 i.e 3.
3. How can I use the GCD of 144, 738, 993Calculator?
Out the numbers 144, 738, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.