GCD of 423, 471, 912 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 423, 471, 912 quickly. Get the easiest ways to solve the greatest common divisor of 423, 471, 912 i.e 3 in different methods as follows.
Given Input numbers are 423, 471, 912
In the factoring method, we have to find the divisors of all numbers
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
GCD of numbers is the greatest common divisor
So, the GCD (423, 471, 912) = 3.
Given numbers are 423, 471, 912
The list of prime factors of all numbers are
Prime factors of 423 are 3 x 3 x 47
Prime factors of 471 are 3 x 157
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 423, 471, 912 is 3.
Steps to Calculate GCD of 423, 471, 912 using LCM Formula
Given numbers are 423, 471, 912
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(423, 471) = 66411
GCD(423, 471) = ( 423 x 471 ) / 66411
= 423 / 471
= 423
Step2:
LCM(3, 912) = 912
GCD(3, 912) = ( 3 x 912 ) / 912
= 3 / 912
= 3
So, Greatest Common Divisor of 423, 471, 912 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 423, 471, 912
Given numbers are 423, 471, 912
The greatest common divisor of numbers 423, 471, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 423, 471, 912 is 3.
FAQs on GCD of 423, 471, 912 Calculator
1. What is the GCD of 423, 471, 912?
GCD of given numbers 423, 471, 912 is 3
2. How to calculate the greatest common divisor of 423, 471, 912?
We can find the highest common divisor of 423, 471, 912 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 423, 471, 912 i.e 3.
3. How can I use the GCD of 423, 471, 912Calculator?
Out the numbers 423, 471, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.