GCD of 993, 621, 99 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 993, 621, 99 quickly. Get the easiest ways to solve the greatest common divisor of 993, 621, 99 i.e 3 in different methods as follows.
Given Input numbers are 993, 621, 99
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 621 :
The positive integer divisors of 621 that completely divides 621 are.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 99 :
The positive integer divisors of 99 that completely divides 99 are.
1, 3, 9, 11, 33, 99
GCD of numbers is the greatest common divisor
So, the GCD (993, 621, 99) = 3.
Given numbers are 993, 621, 99
The list of prime factors of all numbers are
Prime factors of 993 are 3 x 331
Prime factors of 621 are 3 x 3 x 3 x 23
Prime factors of 99 are 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 993, 621, 99 is 3.
Steps to Calculate GCD of 993, 621, 99 using LCM Formula
Given numbers are 993, 621, 99
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(993, 621) = 205551
GCD(993, 621) = ( 993 x 621 ) / 205551
= 993 / 621
= 993
Step2:
LCM(3, 99) = 99
GCD(3, 99) = ( 3 x 99 ) / 99
= 3 / 99
= 3
So, Greatest Common Divisor of 993, 621, 99 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 993, 621, 99
Given numbers are 993, 621, 99
The greatest common divisor of numbers 993, 621, 99 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 621, 99 is 3.
FAQs on GCD of 993, 621, 99 Calculator
1. What is the GCD of 993, 621, 99?
GCD of given numbers 993, 621, 99 is 3
2. How to calculate the greatest common divisor of 993, 621, 99?
We can find the highest common divisor of 993, 621, 99 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, 621, 99 i.e 3.
3. How can I use the GCD of 993, 621, 99Calculator?
Out the numbers 993, 621, 99 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.