GCD of 989, 686, 338, 129 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 989, 686, 338, 129 quickly. Get the easiest ways to solve the greatest common divisor of 989, 686, 338, 129 i.e 1 in different methods as follows.
Given Input numbers are 989, 686, 338, 129
In the factoring method, we have to find the divisors of all numbers
Divisors of 989 :
The positive integer divisors of 989 that completely divides 989 are.
1, 23, 43, 989
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
GCD of numbers is the greatest common divisor
So, the GCD (989, 686, 338, 129) = 1.
Given numbers are 989, 686, 338, 129
The list of prime factors of all numbers are
Prime factors of 989 are 23 x 43
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 338 are 2 x 13 x 13
Prime factors of 129 are 3 x 43
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 989, 686, 338, 129 using LCM Formula
Given numbers are 989, 686, 338, 129
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(989, 686) = 678454
GCD(989, 686) = ( 989 x 686 ) / 678454
= 989 / 686
= 989
Step2:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
Step3:
LCM(1, 129) = 129
GCD(1, 129) = ( 1 x 129 ) / 129
= 1 / 129
= 1
So, Greatest Common Divisor of 989, 686, 338, 129 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 989, 686, 338, 129
Given numbers are 989, 686, 338, 129
The greatest common divisor of numbers 989, 686, 338, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 989, 686, 338, 129 is 1.
FAQs on GCD of 989, 686, 338, 129 Calculator
1. What is the GCD of 989, 686, 338, 129?
GCD of given numbers 989, 686, 338, 129 is 1
2. How to calculate the greatest common divisor of 989, 686, 338, 129?
We can find the highest common divisor of 989, 686, 338, 129 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 989, 686, 338, 129 i.e 1.
3. How can I use the GCD of 989, 686, 338, 129Calculator?
Out the numbers 989, 686, 338, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.