GCD of 297, 612, 423 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 297, 612, 423 quickly. Get the easiest ways to solve the greatest common divisor of 297, 612, 423 i.e 9 in different methods as follows.
Given Input numbers are 297, 612, 423
In the factoring method, we have to find the divisors of all numbers
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
GCD of numbers is the greatest common divisor
So, the GCD (297, 612, 423) = 9.
Given numbers are 297, 612, 423
The list of prime factors of all numbers are
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 423 are 3 x 3 x 47
The highest common occurrence is 32
Therefore, GCD of 297, 612, 423 is 9.
Steps to Calculate GCD of 297, 612, 423 using LCM Formula
Given numbers are 297, 612, 423
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(297, 612) = 20196
GCD(297, 612) = ( 297 x 612 ) / 20196
= 297 / 612
= 297
Step2:
LCM(9, 423) = 423
GCD(9, 423) = ( 9 x 423 ) / 423
= 9 / 423
= 9
So, Greatest Common Divisor of 297, 612, 423 is 9
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 297, 612, 423
Given numbers are 297, 612, 423
The greatest common divisor of numbers 297, 612, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 612, 423 is 9.
FAQs on GCD of 297, 612, 423 Calculator
1. What is the GCD of 297, 612, 423?
GCD of given numbers 297, 612, 423 is 9
2. How to calculate the greatest common divisor of 297, 612, 423?
We can find the highest common divisor of 297, 612, 423 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 297, 612, 423 i.e 9.
3. How can I use the GCD of 297, 612, 423Calculator?
Out the numbers 297, 612, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.