GCD of 129, 171, 313, 869 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 129, 171, 313, 869 quickly. Get the easiest ways to solve the greatest common divisor of 129, 171, 313, 869 i.e 1 in different methods as follows.
Given Input numbers are 129, 171, 313, 869
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 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
Divisors of 869 :
The positive integer divisors of 869 that completely divides 869 are.
1, 11, 79, 869
GCD of numbers is the greatest common divisor
So, the GCD (129, 171, 313, 869) = 1.
Given numbers are 129, 171, 313, 869
The list of prime factors of all numbers are
Prime factors of 129 are 3 x 43
Prime factors of 171 are 3 x 3 x 19
Prime factors of 313 are 313
Prime factors of 869 are 11 x 79
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 129, 171, 313, 869 using LCM Formula
Given numbers are 129, 171, 313, 869
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(129, 171) = 7353
GCD(129, 171) = ( 129 x 171 ) / 7353
= 129 / 171
= 129
Step2:
LCM(3, 313) = 939
GCD(3, 313) = ( 3 x 313 ) / 939
= 3 / 313
= 3
Step3:
LCM(1, 869) = 869
GCD(1, 869) = ( 1 x 869 ) / 869
= 1 / 869
= 1
So, Greatest Common Divisor of 129, 171, 313, 869 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 129, 171, 313, 869
Given numbers are 129, 171, 313, 869
The greatest common divisor of numbers 129, 171, 313, 869 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 171, 313, 869 is 1.
FAQs on GCD of 129, 171, 313, 869 Calculator
1. What is the GCD of 129, 171, 313, 869?
GCD of given numbers 129, 171, 313, 869 is 1
2. How to calculate the greatest common divisor of 129, 171, 313, 869?
We can find the highest common divisor of 129, 171, 313, 869 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, 171, 313, 869 i.e 1.
3. How can I use the GCD of 129, 171, 313, 869Calculator?
Out the numbers 129, 171, 313, 869 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.