GCD of 84, 54, 99, 12 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 84, 54, 99, 12 quickly. Get the easiest ways to solve the greatest common divisor of 84, 54, 99, 12 i.e 3 in different methods as follows.
Given Input numbers are 84, 54, 99, 12
In the factoring method, we have to find the divisors of all numbers
Divisors of 84 :
The positive integer divisors of 84 that completely divides 84 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 54 :
The positive integer divisors of 54 that completely divides 54 are.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 99 :
The positive integer divisors of 99 that completely divides 99 are.
1, 3, 9, 11, 33, 99
Divisors of 12 :
The positive integer divisors of 12 that completely divides 12 are.
1, 2, 3, 4, 6, 12
GCD of numbers is the greatest common divisor
So, the GCD (84, 54, 99, 12) = 3.
Given numbers are 84, 54, 99, 12
The list of prime factors of all numbers are
Prime factors of 84 are 2 x 2 x 3 x 7
Prime factors of 54 are 2 x 3 x 3 x 3
Prime factors of 99 are 3 x 3 x 11
Prime factors of 12 are 2 x 2 x 3
The highest common occurrence is 31
Therefore, GCD of 84, 54, 99, 12 is 3.
Steps to Calculate GCD of 84, 54, 99, 12 using LCM Formula
Given numbers are 84, 54, 99, 12
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(84, 54) = 756
GCD(84, 54) = ( 84 x 54 ) / 756
= 84 / 54
= 84
Step2:
LCM(6, 99) = 198
GCD(6, 99) = ( 6 x 99 ) / 198
= 6 / 99
= 6
Step3:
LCM(3, 12) = 12
GCD(3, 12) = ( 3 x 12 ) / 12
= 3 / 12
= 3
So, Greatest Common Divisor of 84, 54, 99, 12 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 84, 54, 99, 12
Given numbers are 84, 54, 99, 12
The greatest common divisor of numbers 84, 54, 99, 12 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 84, 54, 99, 12 is 3.
FAQs on GCD of 84, 54, 99, 12 Calculator
1. What is the GCD of 84, 54, 99, 12?
GCD of given numbers 84, 54, 99, 12 is 3
2. How to calculate the greatest common divisor of 84, 54, 99, 12?
We can find the highest common divisor of 84, 54, 99, 12 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 84, 54, 99, 12 i.e 3.
3. How can I use the GCD of 84, 54, 99, 12Calculator?
Out the numbers 84, 54, 99, 12 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.