GCD of 120, 162, 521, 589 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 120, 162, 521, 589 quickly. Get the easiest ways to solve the greatest common divisor of 120, 162, 521, 589 i.e 1 in different methods as follows.
Given Input numbers are 120, 162, 521, 589
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 521 :
The positive integer divisors of 521 that completely divides 521 are.
1, 521
Divisors of 589 :
The positive integer divisors of 589 that completely divides 589 are.
1, 19, 31, 589
GCD of numbers is the greatest common divisor
So, the GCD (120, 162, 521, 589) = 1.
Given numbers are 120, 162, 521, 589
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 521 are 521
Prime factors of 589 are 19 x 31
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 120, 162, 521, 589 using LCM Formula
Given numbers are 120, 162, 521, 589
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 162) = 3240
GCD(120, 162) = ( 120 x 162 ) / 3240
= 120 / 162
= 120
Step2:
LCM(6, 521) = 3126
GCD(6, 521) = ( 6 x 521 ) / 3126
= 6 / 521
= 6
Step3:
LCM(1, 589) = 589
GCD(1, 589) = ( 1 x 589 ) / 589
= 1 / 589
= 1
So, Greatest Common Divisor of 120, 162, 521, 589 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 120, 162, 521, 589
Given numbers are 120, 162, 521, 589
The greatest common divisor of numbers 120, 162, 521, 589 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 162, 521, 589 is 1.
FAQs on GCD of 120, 162, 521, 589 Calculator
1. What is the GCD of 120, 162, 521, 589?
GCD of given numbers 120, 162, 521, 589 is 1
2. How to calculate the greatest common divisor of 120, 162, 521, 589?
We can find the highest common divisor of 120, 162, 521, 589 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 120, 162, 521, 589 i.e 1.
3. How can I use the GCD of 120, 162, 521, 589Calculator?
Out the numbers 120, 162, 521, 589 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.