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, 111, 702, 667 i.e. 1 largest integer that divides all the numbers equally.
GCD of 243, 111, 702, 667 is 1
GCD(243, 111, 702, 667) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 243, 111, 702, 667 is 1
GCD(243, 111, 702, 667) = 1
Given Input numbers are 243, 111, 702, 667
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 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Greatest Common Divisior
We found the divisors of 243, 111, 702, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 111, 702, 667 is 1.
Therefore, GCD of numbers 243, 111, 702, 667 is 1
Given Input Data is 243, 111, 702, 667
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 111 is 3 x 37
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 667 is 23 x 29
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, 111) = 8991
GCD(243, 111) = ( 243 x 111 ) / 8991
GCD(243, 111) = 26973 / 8991
GCD(243, 111) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 702) = 702
GCD(3, 702) = ( 3 x 702 ) / 702
GCD(3, 702) = 2106 / 702
GCD(3, 702) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 667) = 2001
GCD(3, 667) = ( 3 x 667 ) / 2001
GCD(3, 667) = 2001 / 2001
GCD(3, 667) = 1
GCD of 243, 111, 702, 667 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 243, 111, 702, 667?
GCD of 243, 111, 702, 667 is 1
2. Where do I get the detailed procedure to find GCD of 243, 111, 702, 667?
You can find a detailed procedure to find GCD of 243, 111, 702, 667 on our page.
3. How to find GCD of 243, 111, 702, 667 on a calculator?
You can find the GCD of 243, 111, 702, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.