GCD of 129, 420, 68 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 129, 420, 68 quickly. Get the easiest ways to solve the greatest common divisor of 129, 420, 68 i.e 1 in different methods as follows.
Given Input numbers are 129, 420, 68
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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 68 :
The positive integer divisors of 68 that completely divides 68 are.
1, 2, 4, 17, 34, 68
GCD of numbers is the greatest common divisor
So, the GCD (129, 420, 68) = 1.
Given numbers are 129, 420, 68
The list of prime factors of all numbers are
Prime factors of 129 are 3 x 43
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 68 are 2 x 2 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 129, 420, 68 using LCM Formula
Given numbers are 129, 420, 68
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(129, 420) = 18060
GCD(129, 420) = ( 129 x 420 ) / 18060
= 129 / 420
= 129
Step2:
LCM(3, 68) = 204
GCD(3, 68) = ( 3 x 68 ) / 204
= 3 / 68
= 3
So, Greatest Common Divisor of 129, 420, 68 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 129, 420, 68
Given numbers are 129, 420, 68
The greatest common divisor of numbers 129, 420, 68 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 420, 68 is 1.
FAQs on GCD of 129, 420, 68 Calculator
1. What is the GCD of 129, 420, 68?
GCD of given numbers 129, 420, 68 is 1
2. How to calculate the greatest common divisor of 129, 420, 68?
We can find the highest common divisor of 129, 420, 68 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, 420, 68 i.e 1.
3. How can I use the GCD of 129, 420, 68Calculator?
Out the numbers 129, 420, 68 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.