GCD of 828, 966, 99 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 828, 966, 99 quickly. Get the easiest ways to solve the greatest common divisor of 828, 966, 99 i.e 3 in different methods as follows.
Given Input numbers are 828, 966, 99
In the factoring method, we have to find the divisors of all numbers
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
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 (828, 966, 99) = 3.
Given numbers are 828, 966, 99
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 99 are 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 828, 966, 99 is 3.
Steps to Calculate GCD of 828, 966, 99 using LCM Formula
Given numbers are 828, 966, 99
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 966) = 5796
GCD(828, 966) = ( 828 x 966 ) / 5796
= 828 / 966
= 828
Step2:
LCM(138, 99) = 4554
GCD(138, 99) = ( 138 x 99 ) / 4554
= 138 / 99
= 138
So, Greatest Common Divisor of 828, 966, 99 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 828, 966, 99
Given numbers are 828, 966, 99
The greatest common divisor of numbers 828, 966, 99 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 966, 99 is 3.
FAQs on GCD of 828, 966, 99 Calculator
1. What is the GCD of 828, 966, 99?
GCD of given numbers 828, 966, 99 is 3
2. How to calculate the greatest common divisor of 828, 966, 99?
We can find the highest common divisor of 828, 966, 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 828, 966, 99 i.e 3.
3. How can I use the GCD of 828, 966, 99Calculator?
Out the numbers 828, 966, 99 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.