GCD of 393, 165, 237, 460 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 393, 165, 237, 460 quickly. Get the easiest ways to solve the greatest common divisor of 393, 165, 237, 460 i.e 1 in different methods as follows.
Given Input numbers are 393, 165, 237, 460
In the factoring method, we have to find the divisors of all numbers
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 237 :
The positive integer divisors of 237 that completely divides 237 are.
1, 3, 79, 237
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
GCD of numbers is the greatest common divisor
So, the GCD (393, 165, 237, 460) = 1.
Given numbers are 393, 165, 237, 460
The list of prime factors of all numbers are
Prime factors of 393 are 3 x 131
Prime factors of 165 are 3 x 5 x 11
Prime factors of 237 are 3 x 79
Prime factors of 460 are 2 x 2 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 393, 165, 237, 460 using LCM Formula
Given numbers are 393, 165, 237, 460
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(393, 165) = 21615
GCD(393, 165) = ( 393 x 165 ) / 21615
= 393 / 165
= 393
Step2:
LCM(3, 237) = 237
GCD(3, 237) = ( 3 x 237 ) / 237
= 3 / 237
= 3
Step3:
LCM(3, 460) = 1380
GCD(3, 460) = ( 3 x 460 ) / 1380
= 3 / 460
= 3
So, Greatest Common Divisor of 393, 165, 237, 460 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 393, 165, 237, 460
Given numbers are 393, 165, 237, 460
The greatest common divisor of numbers 393, 165, 237, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 393, 165, 237, 460 is 1.
FAQs on GCD of 393, 165, 237, 460 Calculator
1. What is the GCD of 393, 165, 237, 460?
GCD of given numbers 393, 165, 237, 460 is 1
2. How to calculate the greatest common divisor of 393, 165, 237, 460?
We can find the highest common divisor of 393, 165, 237, 460 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 393, 165, 237, 460 i.e 1.
3. How can I use the GCD of 393, 165, 237, 460Calculator?
Out the numbers 393, 165, 237, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.