GCD of 364, 760, 459 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 364, 760, 459 quickly. Get the easiest ways to solve the greatest common divisor of 364, 760, 459 i.e 1 in different methods as follows.
Given Input numbers are 364, 760, 459
In the factoring method, we have to find the divisors of all numbers
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
GCD of numbers is the greatest common divisor
So, the GCD (364, 760, 459) = 1.
Given numbers are 364, 760, 459
The list of prime factors of all numbers are
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 459 are 3 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 364, 760, 459 using LCM Formula
Given numbers are 364, 760, 459
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(364, 760) = 69160
GCD(364, 760) = ( 364 x 760 ) / 69160
= 364 / 760
= 364
Step2:
LCM(4, 459) = 1836
GCD(4, 459) = ( 4 x 459 ) / 1836
= 4 / 459
= 4
So, Greatest Common Divisor of 364, 760, 459 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 364, 760, 459
Given numbers are 364, 760, 459
The greatest common divisor of numbers 364, 760, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 760, 459 is 1.
FAQs on GCD of 364, 760, 459 Calculator
1. What is the GCD of 364, 760, 459?
GCD of given numbers 364, 760, 459 is 1
2. How to calculate the greatest common divisor of 364, 760, 459?
We can find the highest common divisor of 364, 760, 459 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 364, 760, 459 i.e 1.
3. How can I use the GCD of 364, 760, 459Calculator?
Out the numbers 364, 760, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.