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 243, 646, 60, 736 i.e. 1 largest integer that divides all the numbers equally.
GCD of 243, 646, 60, 736 is 1
GCD(243, 646, 60, 736) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 243, 646, 60, 736 is 1
GCD(243, 646, 60, 736) = 1
Given Input numbers are 243, 646, 60, 736
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
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 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Greatest Common Divisior
We found the divisors of 243, 646, 60, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 646, 60, 736 is 1.
Therefore, GCD of numbers 243, 646, 60, 736 is 1
Given Input Data is 243, 646, 60, 736
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 646 is 2 x 17 x 19
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
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(243, 646) = 156978
GCD(243, 646) = ( 243 x 646 ) / 156978
GCD(243, 646) = 156978 / 156978
GCD(243, 646) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
GCD(1, 736) = 736 / 736
GCD(1, 736) = 1
GCD of 243, 646, 60, 736 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 243, 646, 60, 736?
GCD of 243, 646, 60, 736 is 1
2. Where do I get the detailed procedure to find GCD of 243, 646, 60, 736?
You can find a detailed procedure to find GCD of 243, 646, 60, 736 on our page.
3. How to find GCD of 243, 646, 60, 736 on a calculator?
You can find the GCD of 243, 646, 60, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.