GCD of 10, 30, 10 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 10, 30, 10 i.e. 10 largest integer that divides all the numbers equally.
GCD of 10, 30, 10 is 10
GCD(10, 30, 10) = 10
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 10, 30, 10 is 10
GCD(10, 30, 10) = 10
GCDof 10,30,10 is 10
Given Input numbers are 10, 30, 10
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Greatest Common Divisior
We found the divisors of 10, 30, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 30, 10 is 10.
Therefore, GCD of numbers 10, 30, 10 is 10
Given Input Data is 10, 30, 10
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 10 is 2 x 5
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 10 is 2 x 5
Highest common occurrences in the given inputs are 21 x 51
Multiplying them we get the GCD as 10
Finding GCD of 10, 30, 10 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(10, 30) = 30
GCD(10, 30) = ( 10 x 30 ) / 30
GCD(10, 30) = 300 / 30
GCD(10, 30) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 10) = 10
GCD(10, 10) = ( 10 x 10 ) / 10
GCD(10, 10) = 100 / 10
GCD(10, 10) = 10
GCD of 10, 30, 10 is 10
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 10, 30, 10
1. What is the GCD of 10, 30, 10?
GCD of 10, 30, 10 is 10
2. Where do I get the detailed procedure to find GCD of 10, 30, 10?
You can find a detailed procedure to find GCD of 10, 30, 10 on our page.
3. How to find GCD of 10, 30, 10 on a calculator?
You can find the GCD of 10, 30, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.