GCD of 240, 450, 726 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 240, 450, 726 quickly. Get the easiest ways to solve the greatest common divisor of 240, 450, 726 i.e 6 in different methods as follows.
Given Input numbers are 240, 450, 726
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 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
GCD of numbers is the greatest common divisor
So, the GCD (240, 450, 726) = 6.
Given numbers are 240, 450, 726
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 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 726 are 2 x 3 x 11 x 11
The highest common occurrence is 21 x 31
Therefore, GCD of 240, 450, 726 is 6.
Steps to Calculate GCD of 240, 450, 726 using LCM Formula
Given numbers are 240, 450, 726
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 450) = 3600
GCD(240, 450) = ( 240 x 450 ) / 3600
= 240 / 450
= 240
Step2:
LCM(30, 726) = 3630
GCD(30, 726) = ( 30 x 726 ) / 3630
= 30 / 726
= 30
So, Greatest Common Divisor of 240, 450, 726 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 240, 450, 726
Given numbers are 240, 450, 726
The greatest common divisor of numbers 240, 450, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 450, 726 is 6.
FAQs on GCD of 240, 450, 726 Calculator
1. What is the GCD of 240, 450, 726?
GCD of given numbers 240, 450, 726 is 6
2. How to calculate the greatest common divisor of 240, 450, 726?
We can find the highest common divisor of 240, 450, 726 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, 450, 726 i.e 6.
3. How can I use the GCD of 240, 450, 726Calculator?
Out the numbers 240, 450, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.