GCD of 589, 200, 75 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 589, 200, 75 quickly. Get the easiest ways to solve the greatest common divisor of 589, 200, 75 i.e 1 in different methods as follows.
Given Input numbers are 589, 200, 75
In the factoring method, we have to find the divisors of all numbers
Divisors of 589 :
The positive integer divisors of 589 that completely divides 589 are.
1, 19, 31, 589
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 75 :
The positive integer divisors of 75 that completely divides 75 are.
1, 3, 5, 15, 25, 75
GCD of numbers is the greatest common divisor
So, the GCD (589, 200, 75) = 1.
Given numbers are 589, 200, 75
The list of prime factors of all numbers are
Prime factors of 589 are 19 x 31
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 75 are 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 589, 200, 75 using LCM Formula
Given numbers are 589, 200, 75
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(589, 200) = 117800
GCD(589, 200) = ( 589 x 200 ) / 117800
= 589 / 200
= 589
Step2:
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
= 1 / 75
= 1
So, Greatest Common Divisor of 589, 200, 75 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 589, 200, 75
Given numbers are 589, 200, 75
The greatest common divisor of numbers 589, 200, 75 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 589, 200, 75 is 1.
FAQs on GCD of 589, 200, 75 Calculator
1. What is the GCD of 589, 200, 75?
GCD of given numbers 589, 200, 75 is 1
2. How to calculate the greatest common divisor of 589, 200, 75?
We can find the highest common divisor of 589, 200, 75 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 589, 200, 75 i.e 1.
3. How can I use the GCD of 589, 200, 75Calculator?
Out the numbers 589, 200, 75 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.