GCD of 993, 162, 696 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 993, 162, 696 quickly. Get the easiest ways to solve the greatest common divisor of 993, 162, 696 i.e 3 in different methods as follows.
Given Input numbers are 993, 162, 696
In the factoring method, we have to find the divisors of all numbers
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
GCD of numbers is the greatest common divisor
So, the GCD (993, 162, 696) = 3.
Given numbers are 993, 162, 696
The list of prime factors of all numbers are
Prime factors of 993 are 3 x 331
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The highest common occurrence is 31
Therefore, GCD of 993, 162, 696 is 3.
Steps to Calculate GCD of 993, 162, 696 using LCM Formula
Given numbers are 993, 162, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(993, 162) = 53622
GCD(993, 162) = ( 993 x 162 ) / 53622
= 993 / 162
= 993
Step2:
LCM(3, 696) = 696
GCD(3, 696) = ( 3 x 696 ) / 696
= 3 / 696
= 3
So, Greatest Common Divisor of 993, 162, 696 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 993, 162, 696
Given numbers are 993, 162, 696
The greatest common divisor of numbers 993, 162, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 162, 696 is 3.
FAQs on GCD of 993, 162, 696 Calculator
1. What is the GCD of 993, 162, 696?
GCD of given numbers 993, 162, 696 is 3
2. How to calculate the greatest common divisor of 993, 162, 696?
We can find the highest common divisor of 993, 162, 696 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 993, 162, 696 i.e 3.
3. How can I use the GCD of 993, 162, 696Calculator?
Out the numbers 993, 162, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.