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 251, 141, 361, 822 i.e. 1 largest integer that divides all the numbers equally.
GCD of 251, 141, 361, 822 is 1
GCD(251, 141, 361, 822) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 251, 141, 361, 822 is 1
GCD(251, 141, 361, 822) = 1
Given Input numbers are 251, 141, 361, 822
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
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 251, 141, 361, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 251, 141, 361, 822 is 1.
Therefore, GCD of numbers 251, 141, 361, 822 is 1
Given Input Data is 251, 141, 361, 822
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 251 is 251
Prime Factorization of 141 is 3 x 47
Prime Factorization of 361 is 19 x 19
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(251, 141) = 35391
GCD(251, 141) = ( 251 x 141 ) / 35391
GCD(251, 141) = 35391 / 35391
GCD(251, 141) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
GCD(1, 361) = 361 / 361
GCD(1, 361) = 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 251, 141, 361, 822 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 251, 141, 361, 822?
GCD of 251, 141, 361, 822 is 1
2. Where do I get the detailed procedure to find GCD of 251, 141, 361, 822?
You can find a detailed procedure to find GCD of 251, 141, 361, 822 on our page.
3. How to find GCD of 251, 141, 361, 822 on a calculator?
You can find the GCD of 251, 141, 361, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.