GCD of 60, 21, 30 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 60, 21, 30 i.e. 3 largest integer that divides all the numbers equally.
GCD of 60, 21, 30 is 3
GCD(60, 21, 30) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 21, 30 is 3
GCD(60, 21, 30) = 3
GCDof 60,21,30 is 3
Given Input numbers are 60, 21, 30
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Greatest Common Divisior
We found the divisors of 60, 21, 30 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 21, 30 is 3.
Therefore, GCD of numbers 60, 21, 30 is 3
Given Input Data is 60, 21, 30
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 21 is 3 x 7
Prime Factorization of 30 is 2 x 3 x 5
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 60, 21, 30 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(60, 21) = 420
GCD(60, 21) = ( 60 x 21 ) / 420
GCD(60, 21) = 1260 / 420
GCD(60, 21) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 30) = 30
GCD(3, 30) = ( 3 x 30 ) / 30
GCD(3, 30) = 90 / 30
GCD(3, 30) = 3
GCD of 60, 21, 30 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 60, 21, 30
1. What is the GCD of 60, 21, 30?
GCD of 60, 21, 30 is 3
2. Where do I get the detailed procedure to find GCD of 60, 21, 30?
You can find a detailed procedure to find GCD of 60, 21, 30 on our page.
3. How to find GCD of 60, 21, 30 on a calculator?
You can find the GCD of 60, 21, 30 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.