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 131, 867, 237, 850 i.e. 1 largest integer that divides all the numbers equally.
GCD of 131, 867, 237, 850 is 1
GCD(131, 867, 237, 850) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 131, 867, 237, 850 is 1
GCD(131, 867, 237, 850) = 1
Given Input numbers are 131, 867, 237, 850
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Greatest Common Divisior
We found the divisors of 131, 867, 237, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 867, 237, 850 is 1.
Therefore, GCD of numbers 131, 867, 237, 850 is 1
Given Input Data is 131, 867, 237, 850
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 131 is 131
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 237 is 3 x 79
Prime Factorization of 850 is 2 x 5 x 5 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(131, 867) = 113577
GCD(131, 867) = ( 131 x 867 ) / 113577
GCD(131, 867) = 113577 / 113577
GCD(131, 867) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 237
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 237) = 237
GCD(1, 237) = ( 1 x 237 ) / 237
GCD(1, 237) = 237 / 237
GCD(1, 237) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 850) = 850
GCD(1, 850) = ( 1 x 850 ) / 850
GCD(1, 850) = 850 / 850
GCD(1, 850) = 1
GCD of 131, 867, 237, 850 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 131, 867, 237, 850?
GCD of 131, 867, 237, 850 is 1
2. Where do I get the detailed procedure to find GCD of 131, 867, 237, 850?
You can find a detailed procedure to find GCD of 131, 867, 237, 850 on our page.
3. How to find GCD of 131, 867, 237, 850 on a calculator?
You can find the GCD of 131, 867, 237, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.