GCD of 489, 652, 142 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 489, 652, 142 quickly. Get the easiest ways to solve the greatest common divisor of 489, 652, 142 i.e 1 in different methods as follows.
Given Input numbers are 489, 652, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (489, 652, 142) = 1.
Given numbers are 489, 652, 142
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 652 are 2 x 2 x 163
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 489, 652, 142 using LCM Formula
Given numbers are 489, 652, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 652) = 1956
GCD(489, 652) = ( 489 x 652 ) / 1956
= 489 / 652
= 489
Step2:
LCM(163, 142) = 23146
GCD(163, 142) = ( 163 x 142 ) / 23146
= 163 / 142
= 163
So, Greatest Common Divisor of 489, 652, 142 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 489, 652, 142
Given numbers are 489, 652, 142
The greatest common divisor of numbers 489, 652, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 652, 142 is 1.
FAQs on GCD of 489, 652, 142 Calculator
1. What is the GCD of 489, 652, 142?
GCD of given numbers 489, 652, 142 is 1
2. How to calculate the greatest common divisor of 489, 652, 142?
We can find the highest common divisor of 489, 652, 142 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 489, 652, 142 i.e 1.
3. How can I use the GCD of 489, 652, 142Calculator?
Out the numbers 489, 652, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.