GCD of 509, 975, 82 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 509, 975, 82 quickly. Get the easiest ways to solve the greatest common divisor of 509, 975, 82 i.e 1 in different methods as follows.
Given Input numbers are 509, 975, 82
In the factoring method, we have to find the divisors of all numbers
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 82 :
The positive integer divisors of 82 that completely divides 82 are.
1, 2, 41, 82
GCD of numbers is the greatest common divisor
So, the GCD (509, 975, 82) = 1.
Given numbers are 509, 975, 82
The list of prime factors of all numbers are
Prime factors of 509 are 509
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 82 are 2 x 41
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 509, 975, 82 using LCM Formula
Given numbers are 509, 975, 82
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(509, 975) = 496275
GCD(509, 975) = ( 509 x 975 ) / 496275
= 509 / 975
= 509
Step2:
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
= 1 / 82
= 1
So, Greatest Common Divisor of 509, 975, 82 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 509, 975, 82
Given numbers are 509, 975, 82
The greatest common divisor of numbers 509, 975, 82 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 975, 82 is 1.
FAQs on GCD of 509, 975, 82 Calculator
1. What is the GCD of 509, 975, 82?
GCD of given numbers 509, 975, 82 is 1
2. How to calculate the greatest common divisor of 509, 975, 82?
We can find the highest common divisor of 509, 975, 82 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 509, 975, 82 i.e 1.
3. How can I use the GCD of 509, 975, 82Calculator?
Out the numbers 509, 975, 82 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.