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 873, 357, 144, 131 i.e. 1 largest integer that divides all the numbers equally.
GCD of 873, 357, 144, 131 is 1
GCD(873, 357, 144, 131) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 873, 357, 144, 131 is 1
GCD(873, 357, 144, 131) = 1
Given Input numbers are 873, 357, 144, 131
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
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 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Greatest Common Divisior
We found the divisors of 873, 357, 144, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 357, 144, 131 is 1.
Therefore, GCD of numbers 873, 357, 144, 131 is 1
Given Input Data is 873, 357, 144, 131
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 131 is 131
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(873, 357) = 103887
GCD(873, 357) = ( 873 x 357 ) / 103887
GCD(873, 357) = 311661 / 103887
GCD(873, 357) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 144) = 144
GCD(3, 144) = ( 3 x 144 ) / 144
GCD(3, 144) = 432 / 144
GCD(3, 144) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 131
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 131) = 393
GCD(3, 131) = ( 3 x 131 ) / 393
GCD(3, 131) = 393 / 393
GCD(3, 131) = 1
GCD of 873, 357, 144, 131 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 873, 357, 144, 131?
GCD of 873, 357, 144, 131 is 1
2. Where do I get the detailed procedure to find GCD of 873, 357, 144, 131?
You can find a detailed procedure to find GCD of 873, 357, 144, 131 on our page.
3. How to find GCD of 873, 357, 144, 131 on a calculator?
You can find the GCD of 873, 357, 144, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.