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 711, 444, 66, 242 i.e. 1 largest integer that divides all the numbers equally.
GCD of 711, 444, 66, 242 is 1
GCD(711, 444, 66, 242) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 711, 444, 66, 242 is 1
GCD(711, 444, 66, 242) = 1
Given Input numbers are 711, 444, 66, 242
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Greatest Common Divisior
We found the divisors of 711, 444, 66, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 444, 66, 242 is 1.
Therefore, GCD of numbers 711, 444, 66, 242 is 1
Given Input Data is 711, 444, 66, 242
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 242 is 2 x 11 x 11
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(711, 444) = 105228
GCD(711, 444) = ( 711 x 444 ) / 105228
GCD(711, 444) = 315684 / 105228
GCD(711, 444) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 66) = 66
GCD(3, 66) = ( 3 x 66 ) / 66
GCD(3, 66) = 198 / 66
GCD(3, 66) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 242) = 726
GCD(3, 242) = ( 3 x 242 ) / 726
GCD(3, 242) = 726 / 726
GCD(3, 242) = 1
GCD of 711, 444, 66, 242 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 711, 444, 66, 242?
GCD of 711, 444, 66, 242 is 1
2. Where do I get the detailed procedure to find GCD of 711, 444, 66, 242?
You can find a detailed procedure to find GCD of 711, 444, 66, 242 on our page.
3. How to find GCD of 711, 444, 66, 242 on a calculator?
You can find the GCD of 711, 444, 66, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.