GCD of 135, 365, 19, 509 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 135, 365, 19, 509 quickly. Get the easiest ways to solve the greatest common divisor of 135, 365, 19, 509 i.e 1 in different methods as follows.
Given Input numbers are 135, 365, 19, 509
In the factoring method, we have to find the divisors of all numbers
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 365 :
The positive integer divisors of 365 that completely divides 365 are.
1, 5, 73, 365
Divisors of 19 :
The positive integer divisors of 19 that completely divides 19 are.
1, 19
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
GCD of numbers is the greatest common divisor
So, the GCD (135, 365, 19, 509) = 1.
Given numbers are 135, 365, 19, 509
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 365 are 5 x 73
Prime factors of 19 are 19
Prime factors of 509 are 509
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 135, 365, 19, 509 using LCM Formula
Given numbers are 135, 365, 19, 509
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 365) = 9855
GCD(135, 365) = ( 135 x 365 ) / 9855
= 135 / 365
= 135
Step2:
LCM(5, 19) = 95
GCD(5, 19) = ( 5 x 19 ) / 95
= 5 / 19
= 5
Step3:
LCM(1, 509) = 509
GCD(1, 509) = ( 1 x 509 ) / 509
= 1 / 509
= 1
So, Greatest Common Divisor of 135, 365, 19, 509 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 135, 365, 19, 509
Given numbers are 135, 365, 19, 509
The greatest common divisor of numbers 135, 365, 19, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 365, 19, 509 is 1.
FAQs on GCD of 135, 365, 19, 509 Calculator
1. What is the GCD of 135, 365, 19, 509?
GCD of given numbers 135, 365, 19, 509 is 1
2. How to calculate the greatest common divisor of 135, 365, 19, 509?
We can find the highest common divisor of 135, 365, 19, 509 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 135, 365, 19, 509 i.e 1.
3. How can I use the GCD of 135, 365, 19, 509Calculator?
Out the numbers 135, 365, 19, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.