GCD of 369, 409, 109, 513 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 369, 409, 109, 513 quickly. Get the easiest ways to solve the greatest common divisor of 369, 409, 109, 513 i.e 1 in different methods as follows.
Given Input numbers are 369, 409, 109, 513
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 409 :
The positive integer divisors of 409 that completely divides 409 are.
1, 409
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
GCD of numbers is the greatest common divisor
So, the GCD (369, 409, 109, 513) = 1.
Given numbers are 369, 409, 109, 513
The list of prime factors of all numbers are
Prime factors of 369 are 3 x 3 x 41
Prime factors of 409 are 409
Prime factors of 109 are 109
Prime factors of 513 are 3 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 369, 409, 109, 513 using LCM Formula
Given numbers are 369, 409, 109, 513
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(369, 409) = 150921
GCD(369, 409) = ( 369 x 409 ) / 150921
= 369 / 409
= 369
Step2:
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
= 1 / 109
= 1
Step3:
LCM(1, 513) = 513
GCD(1, 513) = ( 1 x 513 ) / 513
= 1 / 513
= 1
So, Greatest Common Divisor of 369, 409, 109, 513 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 369, 409, 109, 513
Given numbers are 369, 409, 109, 513
The greatest common divisor of numbers 369, 409, 109, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 409, 109, 513 is 1.
FAQs on GCD of 369, 409, 109, 513 Calculator
1. What is the GCD of 369, 409, 109, 513?
GCD of given numbers 369, 409, 109, 513 is 1
2. How to calculate the greatest common divisor of 369, 409, 109, 513?
We can find the highest common divisor of 369, 409, 109, 513 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, 409, 109, 513 i.e 1.
3. How can I use the GCD of 369, 409, 109, 513Calculator?
Out the numbers 369, 409, 109, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.