GCD of 492, 456, 696 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 492, 456, 696 quickly. Get the easiest ways to solve the greatest common divisor of 492, 456, 696 i.e 12 in different methods as follows.
Given Input numbers are 492, 456, 696
In the factoring method, we have to find the divisors of all numbers
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
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 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 (492, 456, 696) = 12.
Given numbers are 492, 456, 696
The list of prime factors of all numbers are
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The highest common occurrence is 22 x 31
Therefore, GCD of 492, 456, 696 is 12.
Steps to Calculate GCD of 492, 456, 696 using LCM Formula
Given numbers are 492, 456, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(492, 456) = 18696
GCD(492, 456) = ( 492 x 456 ) / 18696
= 492 / 456
= 492
Step2:
LCM(12, 696) = 696
GCD(12, 696) = ( 12 x 696 ) / 696
= 12 / 696
= 12
So, Greatest Common Divisor of 492, 456, 696 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 492, 456, 696
Given numbers are 492, 456, 696
The greatest common divisor of numbers 492, 456, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 456, 696 is 12.
FAQs on GCD of 492, 456, 696 Calculator
1. What is the GCD of 492, 456, 696?
GCD of given numbers 492, 456, 696 is 12
2. How to calculate the greatest common divisor of 492, 456, 696?
We can find the highest common divisor of 492, 456, 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 492, 456, 696 i.e 12.
3. How can I use the GCD of 492, 456, 696Calculator?
Out the numbers 492, 456, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.