GCD of 465, 543, 240 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 465, 543, 240 quickly. Get the easiest ways to solve the greatest common divisor of 465, 543, 240 i.e 3 in different methods as follows.
Given Input numbers are 465, 543, 240
In the factoring method, we have to find the divisors of all numbers
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 543 :
The positive integer divisors of 543 that completely divides 543 are.
1, 3, 181, 543
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
GCD of numbers is the greatest common divisor
So, the GCD (465, 543, 240) = 3.
Given numbers are 465, 543, 240
The list of prime factors of all numbers are
Prime factors of 465 are 3 x 5 x 31
Prime factors of 543 are 3 x 181
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 465, 543, 240 is 3.
Steps to Calculate GCD of 465, 543, 240 using LCM Formula
Given numbers are 465, 543, 240
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(465, 543) = 84165
GCD(465, 543) = ( 465 x 543 ) / 84165
= 465 / 543
= 465
Step2:
LCM(3, 240) = 240
GCD(3, 240) = ( 3 x 240 ) / 240
= 3 / 240
= 3
So, Greatest Common Divisor of 465, 543, 240 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 465, 543, 240
Given numbers are 465, 543, 240
The greatest common divisor of numbers 465, 543, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 543, 240 is 3.
FAQs on GCD of 465, 543, 240 Calculator
1. What is the GCD of 465, 543, 240?
GCD of given numbers 465, 543, 240 is 3
2. How to calculate the greatest common divisor of 465, 543, 240?
We can find the highest common divisor of 465, 543, 240 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 465, 543, 240 i.e 3.
3. How can I use the GCD of 465, 543, 240Calculator?
Out the numbers 465, 543, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.