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, 917, 45, 459 i.e. 1 largest integer that divides all the numbers equally.
GCD of 242, 917, 45, 459 is 1
GCD(242, 917, 45, 459) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 242, 917, 45, 459 is 1
GCD(242, 917, 45, 459) = 1
Given Input numbers are 242, 917, 45, 459
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 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Greatest Common Divisior
We found the divisors of 242, 917, 45, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 917, 45, 459 is 1.
Therefore, GCD of numbers 242, 917, 45, 459 is 1
Given Input Data is 242, 917, 45, 459
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 917 is 7 x 131
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 459 is 3 x 3 x 3 x 17
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, 917) = 221914
GCD(242, 917) = ( 242 x 917 ) / 221914
GCD(242, 917) = 221914 / 221914
GCD(242, 917) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 459
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 459) = 459
GCD(1, 459) = ( 1 x 459 ) / 459
GCD(1, 459) = 459 / 459
GCD(1, 459) = 1
GCD of 242, 917, 45, 459 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 242, 917, 45, 459?
GCD of 242, 917, 45, 459 is 1
2. Where do I get the detailed procedure to find GCD of 242, 917, 45, 459?
You can find a detailed procedure to find GCD of 242, 917, 45, 459 on our page.
3. How to find GCD of 242, 917, 45, 459 on a calculator?
You can find the GCD of 242, 917, 45, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.