GCD of 492, 768, 300 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 492, 768, 300 quickly. Get the easiest ways to solve the greatest common divisor of 492, 768, 300 i.e 12 in different methods as follows.
Given Input numbers are 492, 768, 300
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 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (492, 768, 300) = 12.
Given numbers are 492, 768, 300
The list of prime factors of all numbers are
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 22 x 31
Therefore, GCD of 492, 768, 300 is 12.
Steps to Calculate GCD of 492, 768, 300 using LCM Formula
Given numbers are 492, 768, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(492, 768) = 31488
GCD(492, 768) = ( 492 x 768 ) / 31488
= 492 / 768
= 492
Step2:
LCM(12, 300) = 300
GCD(12, 300) = ( 12 x 300 ) / 300
= 12 / 300
= 12
So, Greatest Common Divisor of 492, 768, 300 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 492, 768, 300
Given numbers are 492, 768, 300
The greatest common divisor of numbers 492, 768, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 768, 300 is 12.
FAQs on GCD of 492, 768, 300 Calculator
1. What is the GCD of 492, 768, 300?
GCD of given numbers 492, 768, 300 is 12
2. How to calculate the greatest common divisor of 492, 768, 300?
We can find the highest common divisor of 492, 768, 300 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, 768, 300 i.e 12.
3. How can I use the GCD of 492, 768, 300Calculator?
Out the numbers 492, 768, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.