GCD of 170, 590, 325 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 170, 590, 325 i.e. 5 largest integer that divides all the numbers equally.
GCD of 170, 590, 325 is 5
GCD(170, 590, 325) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 170, 590, 325 is 5
GCD(170, 590, 325) = 5
GCDof 170,590,325 is 5
Given Input numbers are 170, 590, 325
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Greatest Common Divisior
We found the divisors of 170, 590, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 590, 325 is 5.
Therefore, GCD of numbers 170, 590, 325 is 5
Given Input Data is 170, 590, 325
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 590 is 2 x 5 x 59
Prime Factorization of 325 is 5 x 5 x 13
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
Finding GCD of 170, 590, 325 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(170, 590) = 10030
GCD(170, 590) = ( 170 x 590 ) / 10030
GCD(170, 590) = 100300 / 10030
GCD(170, 590) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 325
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 325) = 650
GCD(10, 325) = ( 10 x 325 ) / 650
GCD(10, 325) = 3250 / 650
GCD(10, 325) = 5
GCD of 170, 590, 325 is 5
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FAQs on GCD of numbers 170, 590, 325
1. What is the GCD of 170, 590, 325?
GCD of 170, 590, 325 is 5
2. Where do I get the detailed procedure to find GCD of 170, 590, 325?
You can find a detailed procedure to find GCD of 170, 590, 325 on our page.
3. How to find GCD of 170, 590, 325 on a calculator?
You can find the GCD of 170, 590, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.