GCD of 600, 860, 215 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 600, 860, 215 i.e. 5 largest integer that divides all the numbers equally.
GCD of 600, 860, 215 is 5
GCD(600, 860, 215) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 860, 215 is 5
GCD(600, 860, 215) = 5
GCDof 600,860,215 is 5
Given Input numbers are 600, 860, 215
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Greatest Common Divisior
We found the divisors of 600, 860, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 860, 215 is 5.
Therefore, GCD of numbers 600, 860, 215 is 5
Given Input Data is 600, 860, 215
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 215 is 5 x 43
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
Finding GCD of 600, 860, 215 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(600, 860) = 25800
GCD(600, 860) = ( 600 x 860 ) / 25800
GCD(600, 860) = 516000 / 25800
GCD(600, 860) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 215
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 215) = 860
GCD(20, 215) = ( 20 x 215 ) / 860
GCD(20, 215) = 4300 / 860
GCD(20, 215) = 5
GCD of 600, 860, 215 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 600, 860, 215
1. What is the GCD of 600, 860, 215?
GCD of 600, 860, 215 is 5
2. Where do I get the detailed procedure to find GCD of 600, 860, 215?
You can find a detailed procedure to find GCD of 600, 860, 215 on our page.
3. How to find GCD of 600, 860, 215 on a calculator?
You can find the GCD of 600, 860, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.