GCD of 109, 680, 989 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 109, 680, 989 quickly. Get the easiest ways to solve the greatest common divisor of 109, 680, 989 i.e 1 in different methods as follows.
Given Input numbers are 109, 680, 989
In the factoring method, we have to find the divisors of all numbers
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 989 :
The positive integer divisors of 989 that completely divides 989 are.
1, 23, 43, 989
GCD of numbers is the greatest common divisor
So, the GCD (109, 680, 989) = 1.
Given numbers are 109, 680, 989
The list of prime factors of all numbers are
Prime factors of 109 are 109
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 989 are 23 x 43
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 109, 680, 989 using LCM Formula
Given numbers are 109, 680, 989
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(109, 680) = 74120
GCD(109, 680) = ( 109 x 680 ) / 74120
= 109 / 680
= 109
Step2:
LCM(1, 989) = 989
GCD(1, 989) = ( 1 x 989 ) / 989
= 1 / 989
= 1
So, Greatest Common Divisor of 109, 680, 989 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 109, 680, 989
Given numbers are 109, 680, 989
The greatest common divisor of numbers 109, 680, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 680, 989 is 1.
FAQs on GCD of 109, 680, 989 Calculator
1. What is the GCD of 109, 680, 989?
GCD of given numbers 109, 680, 989 is 1
2. How to calculate the greatest common divisor of 109, 680, 989?
We can find the highest common divisor of 109, 680, 989 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 109, 680, 989 i.e 1.
3. How can I use the GCD of 109, 680, 989Calculator?
Out the numbers 109, 680, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.