GCD of 585, 675, 310 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 585, 675, 310 i.e. 5 largest integer that divides all the numbers equally.
GCD of 585, 675, 310 is 5
GCD(585, 675, 310) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 585, 675, 310 is 5
GCD(585, 675, 310) = 5
GCDof 585,675,310 is 5
Given Input numbers are 585, 675, 310
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 585
List of positive integer divisors of 585 that divides 585 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Greatest Common Divisior
We found the divisors of 585, 675, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 675, 310 is 5.
Therefore, GCD of numbers 585, 675, 310 is 5
Given Input Data is 585, 675, 310
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 310 is 2 x 5 x 31
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
Finding GCD of 585, 675, 310 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(585, 675) = 8775
GCD(585, 675) = ( 585 x 675 ) / 8775
GCD(585, 675) = 394875 / 8775
GCD(585, 675) = 45
Step2:
Here we consider the GCD from the above i.e. 45 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(45, 310) = 2790
GCD(45, 310) = ( 45 x 310 ) / 2790
GCD(45, 310) = 13950 / 2790
GCD(45, 310) = 5
GCD of 585, 675, 310 is 5
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FAQs on GCD of numbers 585, 675, 310
1. What is the GCD of 585, 675, 310?
GCD of 585, 675, 310 is 5
2. Where do I get the detailed procedure to find GCD of 585, 675, 310?
You can find a detailed procedure to find GCD of 585, 675, 310 on our page.
3. How to find GCD of 585, 675, 310 on a calculator?
You can find the GCD of 585, 675, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.