GCD of 460, 600, 110 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 460, 600, 110 i.e. 10 largest integer that divides all the numbers equally.
GCD of 460, 600, 110 is 10
GCD(460, 600, 110) = 10
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 460, 600, 110 is 10
GCD(460, 600, 110) = 10
GCDof 460,600,110 is 10
Given Input numbers are 460, 600, 110
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
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 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Greatest Common Divisior
We found the divisors of 460, 600, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 600, 110 is 10.
Therefore, GCD of numbers 460, 600, 110 is 10
Given Input Data is 460, 600, 110
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 110 is 2 x 5 x 11
Highest common occurrences in the given inputs are 21 x 51
Multiplying them we get the GCD as 10
Finding GCD of 460, 600, 110 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(460, 600) = 13800
GCD(460, 600) = ( 460 x 600 ) / 13800
GCD(460, 600) = 276000 / 13800
GCD(460, 600) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 110) = 220
GCD(20, 110) = ( 20 x 110 ) / 220
GCD(20, 110) = 2200 / 220
GCD(20, 110) = 10
GCD of 460, 600, 110 is 10
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 460, 600, 110
1. What is the GCD of 460, 600, 110?
GCD of 460, 600, 110 is 10
2. Where do I get the detailed procedure to find GCD of 460, 600, 110?
You can find a detailed procedure to find GCD of 460, 600, 110 on our page.
3. How to find GCD of 460, 600, 110 on a calculator?
You can find the GCD of 460, 600, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.