GCD of 689, 361, 893 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 689, 361, 893 quickly. Get the easiest ways to solve the greatest common divisor of 689, 361, 893 i.e 1 in different methods as follows.
Given Input numbers are 689, 361, 893
In the factoring method, we have to find the divisors of all numbers
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 893 :
The positive integer divisors of 893 that completely divides 893 are.
1, 19, 47, 893
GCD of numbers is the greatest common divisor
So, the GCD (689, 361, 893) = 1.
Given numbers are 689, 361, 893
The list of prime factors of all numbers are
Prime factors of 689 are 13 x 53
Prime factors of 361 are 19 x 19
Prime factors of 893 are 19 x 47
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 689, 361, 893 using LCM Formula
Given numbers are 689, 361, 893
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(689, 361) = 248729
GCD(689, 361) = ( 689 x 361 ) / 248729
= 689 / 361
= 689
Step2:
LCM(1, 893) = 893
GCD(1, 893) = ( 1 x 893 ) / 893
= 1 / 893
= 1
So, Greatest Common Divisor of 689, 361, 893 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 689, 361, 893
Given numbers are 689, 361, 893
The greatest common divisor of numbers 689, 361, 893 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 361, 893 is 1.
FAQs on GCD of 689, 361, 893 Calculator
1. What is the GCD of 689, 361, 893?
GCD of given numbers 689, 361, 893 is 1
2. How to calculate the greatest common divisor of 689, 361, 893?
We can find the highest common divisor of 689, 361, 893 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 689, 361, 893 i.e 1.
3. How can I use the GCD of 689, 361, 893Calculator?
Out the numbers 689, 361, 893 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.