GCD of 396, 456, 51 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 396, 456, 51 quickly. Get the easiest ways to solve the greatest common divisor of 396, 456, 51 i.e 3 in different methods as follows.
Given Input numbers are 396, 456, 51
In the factoring method, we have to find the divisors of all numbers
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 51 :
The positive integer divisors of 51 that completely divides 51 are.
1, 3, 17, 51
GCD of numbers is the greatest common divisor
So, the GCD (396, 456, 51) = 3.
Given numbers are 396, 456, 51
The list of prime factors of all numbers are
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 51 are 3 x 17
The highest common occurrence is 31
Therefore, GCD of 396, 456, 51 is 3.
Steps to Calculate GCD of 396, 456, 51 using LCM Formula
Given numbers are 396, 456, 51
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(396, 456) = 15048
GCD(396, 456) = ( 396 x 456 ) / 15048
= 396 / 456
= 396
Step2:
LCM(12, 51) = 204
GCD(12, 51) = ( 12 x 51 ) / 204
= 12 / 51
= 12
So, Greatest Common Divisor of 396, 456, 51 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 396, 456, 51
Given numbers are 396, 456, 51
The greatest common divisor of numbers 396, 456, 51 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 456, 51 is 3.
FAQs on GCD of 396, 456, 51 Calculator
1. What is the GCD of 396, 456, 51?
GCD of given numbers 396, 456, 51 is 3
2. How to calculate the greatest common divisor of 396, 456, 51?
We can find the highest common divisor of 396, 456, 51 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 396, 456, 51 i.e 3.
3. How can I use the GCD of 396, 456, 51Calculator?
Out the numbers 396, 456, 51 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.