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, 163, 222, 729 i.e. 1 largest integer that divides all the numbers equally.
GCD of 60, 163, 222, 729 is 1
GCD(60, 163, 222, 729) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 163, 222, 729 is 1
GCD(60, 163, 222, 729) = 1
Given Input numbers are 60, 163, 222, 729
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 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Greatest Common Divisior
We found the divisors of 60, 163, 222, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 163, 222, 729 is 1.
Therefore, GCD of numbers 60, 163, 222, 729 is 1
Given Input Data is 60, 163, 222, 729
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 163 is 163
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
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, 163) = 9780
GCD(60, 163) = ( 60 x 163 ) / 9780
GCD(60, 163) = 9780 / 9780
GCD(60, 163) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 222
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 222) = 222
GCD(1, 222) = ( 1 x 222 ) / 222
GCD(1, 222) = 222 / 222
GCD(1, 222) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
GCD(1, 729) = 729 / 729
GCD(1, 729) = 1
GCD of 60, 163, 222, 729 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 60, 163, 222, 729?
GCD of 60, 163, 222, 729 is 1
2. Where do I get the detailed procedure to find GCD of 60, 163, 222, 729?
You can find a detailed procedure to find GCD of 60, 163, 222, 729 on our page.
3. How to find GCD of 60, 163, 222, 729 on a calculator?
You can find the GCD of 60, 163, 222, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.