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 242, 954, 144, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 242, 954, 144, 777 is 1
GCD(242, 954, 144, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 242, 954, 144, 777 is 1
GCD(242, 954, 144, 777) = 1
Given Input numbers are 242, 954, 144, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 242, 954, 144, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 954, 144, 777 is 1.
Therefore, GCD of numbers 242, 954, 144, 777 is 1
Given Input Data is 242, 954, 144, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 777 is 3 x 7 x 37
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(242, 954) = 115434
GCD(242, 954) = ( 242 x 954 ) / 115434
GCD(242, 954) = 230868 / 115434
GCD(242, 954) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 144) = 144
GCD(2, 144) = ( 2 x 144 ) / 144
GCD(2, 144) = 288 / 144
GCD(2, 144) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 777) = 1554
GCD(2, 777) = ( 2 x 777 ) / 1554
GCD(2, 777) = 1554 / 1554
GCD(2, 777) = 1
GCD of 242, 954, 144, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 242, 954, 144, 777?
GCD of 242, 954, 144, 777 is 1
2. Where do I get the detailed procedure to find GCD of 242, 954, 144, 777?
You can find a detailed procedure to find GCD of 242, 954, 144, 777 on our page.
3. How to find GCD of 242, 954, 144, 777 on a calculator?
You can find the GCD of 242, 954, 144, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.