GCD of 369, 240, 423 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 369, 240, 423 quickly. Get the easiest ways to solve the greatest common divisor of 369, 240, 423 i.e 3 in different methods as follows.
Given Input numbers are 369, 240, 423
In the factoring method, we have to find the divisors of all numbers
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
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 (369, 240, 423) = 3.
Given numbers are 369, 240, 423
The list of prime factors of all numbers are
Prime factors of 369 are 3 x 3 x 41
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 423 are 3 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 369, 240, 423 is 3.
Steps to Calculate GCD of 369, 240, 423 using LCM Formula
Given numbers are 369, 240, 423
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(369, 240) = 29520
GCD(369, 240) = ( 369 x 240 ) / 29520
= 369 / 240
= 369
Step2:
LCM(3, 423) = 423
GCD(3, 423) = ( 3 x 423 ) / 423
= 3 / 423
= 3
So, Greatest Common Divisor of 369, 240, 423 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 369, 240, 423
Given numbers are 369, 240, 423
The greatest common divisor of numbers 369, 240, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 240, 423 is 3.
FAQs on GCD of 369, 240, 423 Calculator
1. What is the GCD of 369, 240, 423?
GCD of given numbers 369, 240, 423 is 3
2. How to calculate the greatest common divisor of 369, 240, 423?
We can find the highest common divisor of 369, 240, 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 369, 240, 423 i.e 3.
3. How can I use the GCD of 369, 240, 423Calculator?
Out the numbers 369, 240, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.