GCD of 369, 517, 664 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 369, 517, 664 quickly. Get the easiest ways to solve the greatest common divisor of 369, 517, 664 i.e 1 in different methods as follows.
Given Input numbers are 369, 517, 664
In the factoring method, we have to find the divisors of all numbers
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 517 :
The positive integer divisors of 517 that completely divides 517 are.
1, 11, 47, 517
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
GCD of numbers is the greatest common divisor
So, the GCD (369, 517, 664) = 1.
Given numbers are 369, 517, 664
The list of prime factors of all numbers are
Prime factors of 369 are 3 x 3 x 41
Prime factors of 517 are 11 x 47
Prime factors of 664 are 2 x 2 x 2 x 83
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 369, 517, 664 using LCM Formula
Given numbers are 369, 517, 664
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(369, 517) = 190773
GCD(369, 517) = ( 369 x 517 ) / 190773
= 369 / 517
= 369
Step2:
LCM(1, 664) = 664
GCD(1, 664) = ( 1 x 664 ) / 664
= 1 / 664
= 1
So, Greatest Common Divisor of 369, 517, 664 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 369, 517, 664
Given numbers are 369, 517, 664
The greatest common divisor of numbers 369, 517, 664 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 517, 664 is 1.
FAQs on GCD of 369, 517, 664 Calculator
1. What is the GCD of 369, 517, 664?
GCD of given numbers 369, 517, 664 is 1
2. How to calculate the greatest common divisor of 369, 517, 664?
We can find the highest common divisor of 369, 517, 664 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 369, 517, 664 i.e 1.
3. How can I use the GCD of 369, 517, 664Calculator?
Out the numbers 369, 517, 664 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.