GCD of 240, 297, 438 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 240, 297, 438 quickly. Get the easiest ways to solve the greatest common divisor of 240, 297, 438 i.e 3 in different methods as follows.
Given Input numbers are 240, 297, 438
In the factoring method, we have to find the divisors of all numbers
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 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
GCD of numbers is the greatest common divisor
So, the GCD (240, 297, 438) = 3.
Given numbers are 240, 297, 438
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 438 are 2 x 3 x 73
The highest common occurrence is 31
Therefore, GCD of 240, 297, 438 is 3.
Steps to Calculate GCD of 240, 297, 438 using LCM Formula
Given numbers are 240, 297, 438
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 297) = 23760
GCD(240, 297) = ( 240 x 297 ) / 23760
= 240 / 297
= 240
Step2:
LCM(3, 438) = 438
GCD(3, 438) = ( 3 x 438 ) / 438
= 3 / 438
= 3
So, Greatest Common Divisor of 240, 297, 438 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 240, 297, 438
Given numbers are 240, 297, 438
The greatest common divisor of numbers 240, 297, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 297, 438 is 3.
FAQs on GCD of 240, 297, 438 Calculator
1. What is the GCD of 240, 297, 438?
GCD of given numbers 240, 297, 438 is 3
2. How to calculate the greatest common divisor of 240, 297, 438?
We can find the highest common divisor of 240, 297, 438 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 240, 297, 438 i.e 3.
3. How can I use the GCD of 240, 297, 438Calculator?
Out the numbers 240, 297, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.