GCD of 63, 18, 60 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 63, 18, 60 i.e. 3 largest integer that divides all the numbers equally.
GCD of 63, 18, 60 is 3
GCD(63, 18, 60) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 63, 18, 60 is 3
GCD(63, 18, 60) = 3
GCDof 63,18,60 is 3
Given Input numbers are 63, 18, 60
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
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
Greatest Common Divisior
We found the divisors of 63, 18, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 18, 60 is 3.
Therefore, GCD of numbers 63, 18, 60 is 3
Given Input Data is 63, 18, 60
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 60 is 2 x 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 63, 18, 60 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(63, 18) = 126
GCD(63, 18) = ( 63 x 18 ) / 126
GCD(63, 18) = 1134 / 126
GCD(63, 18) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 60) = 180
GCD(9, 60) = ( 9 x 60 ) / 180
GCD(9, 60) = 540 / 180
GCD(9, 60) = 3
GCD of 63, 18, 60 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 63, 18, 60
1. What is the GCD of 63, 18, 60?
GCD of 63, 18, 60 is 3
2. Where do I get the detailed procedure to find GCD of 63, 18, 60?
You can find a detailed procedure to find GCD of 63, 18, 60 on our page.
3. How to find GCD of 63, 18, 60 on a calculator?
You can find the GCD of 63, 18, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.