GCD of 720, 417, 36 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 720, 417, 36 quickly. Get the easiest ways to solve the greatest common divisor of 720, 417, 36 i.e 3 in different methods as follows.
Given Input numbers are 720, 417, 36
In the factoring method, we have to find the divisors of all numbers
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 417 :
The positive integer divisors of 417 that completely divides 417 are.
1, 3, 139, 417
Divisors of 36 :
The positive integer divisors of 36 that completely divides 36 are.
1, 2, 3, 4, 6, 9, 12, 18, 36
GCD of numbers is the greatest common divisor
So, the GCD (720, 417, 36) = 3.
Given numbers are 720, 417, 36
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 417 are 3 x 139
Prime factors of 36 are 2 x 2 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 720, 417, 36 is 3.
Steps to Calculate GCD of 720, 417, 36 using LCM Formula
Given numbers are 720, 417, 36
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 417) = 100080
GCD(720, 417) = ( 720 x 417 ) / 100080
= 720 / 417
= 720
Step2:
LCM(3, 36) = 36
GCD(3, 36) = ( 3 x 36 ) / 36
= 3 / 36
= 3
So, Greatest Common Divisor of 720, 417, 36 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 720, 417, 36
Given numbers are 720, 417, 36
The greatest common divisor of numbers 720, 417, 36 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 417, 36 is 3.
FAQs on GCD of 720, 417, 36 Calculator
1. What is the GCD of 720, 417, 36?
GCD of given numbers 720, 417, 36 is 3
2. How to calculate the greatest common divisor of 720, 417, 36?
We can find the highest common divisor of 720, 417, 36 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 720, 417, 36 i.e 3.
3. How can I use the GCD of 720, 417, 36Calculator?
Out the numbers 720, 417, 36 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.