GCD of 360, 606, 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 360, 606, 310 i.e. 2 largest integer that divides all the numbers equally.
GCD of 360, 606, 310 is 2
GCD(360, 606, 310) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 360, 606, 310 is 2
GCD(360, 606, 310) = 2
GCDof 360,606,310 is 2
Given Input numbers are 360, 606, 310
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 606
List of positive integer divisors of 606 that divides 606 without a remainder.
1, 2, 3, 6, 101, 202, 303, 606
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 360, 606, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 606, 310 is 2.
Therefore, GCD of numbers 360, 606, 310 is 2
Given Input Data is 360, 606, 310
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 606 is 2 x 3 x 101
Prime Factorization of 310 is 2 x 5 x 31
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 360, 606, 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(360, 606) = 36360
GCD(360, 606) = ( 360 x 606 ) / 36360
GCD(360, 606) = 218160 / 36360
GCD(360, 606) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 310) = 930
GCD(6, 310) = ( 6 x 310 ) / 930
GCD(6, 310) = 1860 / 930
GCD(6, 310) = 2
GCD of 360, 606, 310 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 360, 606, 310
1. What is the GCD of 360, 606, 310?
GCD of 360, 606, 310 is 2
2. Where do I get the detailed procedure to find GCD of 360, 606, 310?
You can find a detailed procedure to find GCD of 360, 606, 310 on our page.
3. How to find GCD of 360, 606, 310 on a calculator?
You can find the GCD of 360, 606, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.