GCD of 129, 504, 217 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 129, 504, 217 quickly. Get the easiest ways to solve the greatest common divisor of 129, 504, 217 i.e 1 in different methods as follows.
Given Input numbers are 129, 504, 217
In the factoring method, we have to find the divisors of all numbers
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
GCD of numbers is the greatest common divisor
So, the GCD (129, 504, 217) = 1.
Given numbers are 129, 504, 217
The list of prime factors of all numbers are
Prime factors of 129 are 3 x 43
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 217 are 7 x 31
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 129, 504, 217 using LCM Formula
Given numbers are 129, 504, 217
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(129, 504) = 21672
GCD(129, 504) = ( 129 x 504 ) / 21672
= 129 / 504
= 129
Step2:
LCM(3, 217) = 651
GCD(3, 217) = ( 3 x 217 ) / 651
= 3 / 217
= 3
So, Greatest Common Divisor of 129, 504, 217 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 129, 504, 217
Given numbers are 129, 504, 217
The greatest common divisor of numbers 129, 504, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 504, 217 is 1.
FAQs on GCD of 129, 504, 217 Calculator
1. What is the GCD of 129, 504, 217?
GCD of given numbers 129, 504, 217 is 1
2. How to calculate the greatest common divisor of 129, 504, 217?
We can find the highest common divisor of 129, 504, 217 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 129, 504, 217 i.e 1.
3. How can I use the GCD of 129, 504, 217Calculator?
Out the numbers 129, 504, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.