GCD of 492, 369, 408 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 492, 369, 408 quickly. Get the easiest ways to solve the greatest common divisor of 492, 369, 408 i.e 3 in different methods as follows.
Given Input numbers are 492, 369, 408
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 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
GCD of numbers is the greatest common divisor
So, the GCD (492, 369, 408) = 3.
Given numbers are 492, 369, 408
The list of prime factors of all numbers are
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 369 are 3 x 3 x 41
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 492, 369, 408 is 3.
Steps to Calculate GCD of 492, 369, 408 using LCM Formula
Given numbers are 492, 369, 408
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(492, 369) = 1476
GCD(492, 369) = ( 492 x 369 ) / 1476
= 492 / 369
= 492
Step2:
LCM(123, 408) = 16728
GCD(123, 408) = ( 123 x 408 ) / 16728
= 123 / 408
= 123
So, Greatest Common Divisor of 492, 369, 408 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 492, 369, 408
Given numbers are 492, 369, 408
The greatest common divisor of numbers 492, 369, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 369, 408 is 3.
FAQs on GCD of 492, 369, 408 Calculator
1. What is the GCD of 492, 369, 408?
GCD of given numbers 492, 369, 408 is 3
2. How to calculate the greatest common divisor of 492, 369, 408?
We can find the highest common divisor of 492, 369, 408 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, 369, 408 i.e 3.
3. How can I use the GCD of 492, 369, 408Calculator?
Out the numbers 492, 369, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.