GCD of 540, 318, 83 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 540, 318, 83 quickly. Get the easiest ways to solve the greatest common divisor of 540, 318, 83 i.e 1 in different methods as follows.
Given Input numbers are 540, 318, 83
In the factoring method, we have to find the divisors of all numbers
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 83 :
The positive integer divisors of 83 that completely divides 83 are.
1, 83
GCD of numbers is the greatest common divisor
So, the GCD (540, 318, 83) = 1.
Given numbers are 540, 318, 83
The list of prime factors of all numbers are
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 318 are 2 x 3 x 53
Prime factors of 83 are 83
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 540, 318, 83 using LCM Formula
Given numbers are 540, 318, 83
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(540, 318) = 28620
GCD(540, 318) = ( 540 x 318 ) / 28620
= 540 / 318
= 540
Step2:
LCM(6, 83) = 498
GCD(6, 83) = ( 6 x 83 ) / 498
= 6 / 83
= 6
So, Greatest Common Divisor of 540, 318, 83 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 540, 318, 83
Given numbers are 540, 318, 83
The greatest common divisor of numbers 540, 318, 83 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 318, 83 is 1.
FAQs on GCD of 540, 318, 83 Calculator
1. What is the GCD of 540, 318, 83?
GCD of given numbers 540, 318, 83 is 1
2. How to calculate the greatest common divisor of 540, 318, 83?
We can find the highest common divisor of 540, 318, 83 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 540, 318, 83 i.e 1.
3. How can I use the GCD of 540, 318, 83Calculator?
Out the numbers 540, 318, 83 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.