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 824, 141, 81, 367 i.e. 1 largest integer that divides all the numbers equally.
GCD of 824, 141, 81, 367 is 1
GCD(824, 141, 81, 367) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 824, 141, 81, 367 is 1
GCD(824, 141, 81, 367) = 1
Given Input numbers are 824, 141, 81, 367
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Greatest Common Divisior
We found the divisors of 824, 141, 81, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 141, 81, 367 is 1.
Therefore, GCD of numbers 824, 141, 81, 367 is 1
Given Input Data is 824, 141, 81, 367
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 141 is 3 x 47
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 367 is 367
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(824, 141) = 116184
GCD(824, 141) = ( 824 x 141 ) / 116184
GCD(824, 141) = 116184 / 116184
GCD(824, 141) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 81) = 81
GCD(1, 81) = ( 1 x 81 ) / 81
GCD(1, 81) = 81 / 81
GCD(1, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 367
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 367) = 367
GCD(1, 367) = ( 1 x 367 ) / 367
GCD(1, 367) = 367 / 367
GCD(1, 367) = 1
GCD of 824, 141, 81, 367 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 824, 141, 81, 367?
GCD of 824, 141, 81, 367 is 1
2. Where do I get the detailed procedure to find GCD of 824, 141, 81, 367?
You can find a detailed procedure to find GCD of 824, 141, 81, 367 on our page.
3. How to find GCD of 824, 141, 81, 367 on a calculator?
You can find the GCD of 824, 141, 81, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.