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, 577, 154, 822 i.e. 1 largest integer that divides all the numbers equally.
GCD of 242, 577, 154, 822 is 1
GCD(242, 577, 154, 822) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 242, 577, 154, 822 is 1
GCD(242, 577, 154, 822) = 1
Given Input numbers are 242, 577, 154, 822
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 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Greatest Common Divisior
We found the divisors of 242, 577, 154, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 577, 154, 822 is 1.
Therefore, GCD of numbers 242, 577, 154, 822 is 1
Given Input Data is 242, 577, 154, 822
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 577 is 577
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 822 is 2 x 3 x 137
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, 577) = 139634
GCD(242, 577) = ( 242 x 577 ) / 139634
GCD(242, 577) = 139634 / 139634
GCD(242, 577) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 154
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 154) = 154
GCD(1, 154) = ( 1 x 154 ) / 154
GCD(1, 154) = 154 / 154
GCD(1, 154) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 822
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 822) = 822
GCD(1, 822) = ( 1 x 822 ) / 822
GCD(1, 822) = 822 / 822
GCD(1, 822) = 1
GCD of 242, 577, 154, 822 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 242, 577, 154, 822?
GCD of 242, 577, 154, 822 is 1
2. Where do I get the detailed procedure to find GCD of 242, 577, 154, 822?
You can find a detailed procedure to find GCD of 242, 577, 154, 822 on our page.
3. How to find GCD of 242, 577, 154, 822 on a calculator?
You can find the GCD of 242, 577, 154, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.