GCD of 720, 361, 64 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 720, 361, 64 quickly. Get the easiest ways to solve the greatest common divisor of 720, 361, 64 i.e 1 in different methods as follows.
Given Input numbers are 720, 361, 64
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 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 64 :
The positive integer divisors of 64 that completely divides 64 are.
1, 2, 4, 8, 16, 32, 64
GCD of numbers is the greatest common divisor
So, the GCD (720, 361, 64) = 1.
Given numbers are 720, 361, 64
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 361 are 19 x 19
Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 720, 361, 64 using LCM Formula
Given numbers are 720, 361, 64
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 361) = 259920
GCD(720, 361) = ( 720 x 361 ) / 259920
= 720 / 361
= 720
Step2:
LCM(1, 64) = 64
GCD(1, 64) = ( 1 x 64 ) / 64
= 1 / 64
= 1
So, Greatest Common Divisor of 720, 361, 64 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 720, 361, 64
Given numbers are 720, 361, 64
The greatest common divisor of numbers 720, 361, 64 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 361, 64 is 1.
FAQs on GCD of 720, 361, 64 Calculator
1. What is the GCD of 720, 361, 64?
GCD of given numbers 720, 361, 64 is 1
2. How to calculate the greatest common divisor of 720, 361, 64?
We can find the highest common divisor of 720, 361, 64 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, 361, 64 i.e 1.
3. How can I use the GCD of 720, 361, 64Calculator?
Out the numbers 720, 361, 64 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.