GCD of 145, 990, 590 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 145, 990, 590 quickly. Get the easiest ways to solve the greatest common divisor of 145, 990, 590 i.e 5 in different methods as follows.
Given Input numbers are 145, 990, 590
In the factoring method, we have to find the divisors of all numbers
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
GCD of numbers is the greatest common divisor
So, the GCD (145, 990, 590) = 5.
Given numbers are 145, 990, 590
The list of prime factors of all numbers are
Prime factors of 145 are 5 x 29
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 590 are 2 x 5 x 59
The highest common occurrence is 51
Therefore, GCD of 145, 990, 590 is 5.
Steps to Calculate GCD of 145, 990, 590 using LCM Formula
Given numbers are 145, 990, 590
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(145, 990) = 28710
GCD(145, 990) = ( 145 x 990 ) / 28710
= 145 / 990
= 145
Step2:
LCM(5, 590) = 590
GCD(5, 590) = ( 5 x 590 ) / 590
= 5 / 590
= 5
So, Greatest Common Divisor of 145, 990, 590 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 145, 990, 590
Given numbers are 145, 990, 590
The greatest common divisor of numbers 145, 990, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 990, 590 is 5.
FAQs on GCD of 145, 990, 590 Calculator
1. What is the GCD of 145, 990, 590?
GCD of given numbers 145, 990, 590 is 5
2. How to calculate the greatest common divisor of 145, 990, 590?
We can find the highest common divisor of 145, 990, 590 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 145, 990, 590 i.e 5.
3. How can I use the GCD of 145, 990, 590Calculator?
Out the numbers 145, 990, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.