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 850, 150, 131, 351 i.e. 1 largest integer that divides all the numbers equally.
GCD of 850, 150, 131, 351 is 1
GCD(850, 150, 131, 351) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 850, 150, 131, 351 is 1
GCD(850, 150, 131, 351) = 1
Given Input numbers are 850, 150, 131, 351
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Greatest Common Divisior
We found the divisors of 850, 150, 131, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 150, 131, 351 is 1.
Therefore, GCD of numbers 850, 150, 131, 351 is 1
Given Input Data is 850, 150, 131, 351
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 131 is 131
Prime Factorization of 351 is 3 x 3 x 3 x 13
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(850, 150) = 2550
GCD(850, 150) = ( 850 x 150 ) / 2550
GCD(850, 150) = 127500 / 2550
GCD(850, 150) = 50
Step2:
Here we consider the GCD from the above i.e. 50 as first number and the next as 131
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(50, 131) = 6550
GCD(50, 131) = ( 50 x 131 ) / 6550
GCD(50, 131) = 6550 / 6550
GCD(50, 131) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 351
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 351) = 351
GCD(1, 351) = ( 1 x 351 ) / 351
GCD(1, 351) = 351 / 351
GCD(1, 351) = 1
GCD of 850, 150, 131, 351 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 850, 150, 131, 351?
GCD of 850, 150, 131, 351 is 1
2. Where do I get the detailed procedure to find GCD of 850, 150, 131, 351?
You can find a detailed procedure to find GCD of 850, 150, 131, 351 on our page.
3. How to find GCD of 850, 150, 131, 351 on a calculator?
You can find the GCD of 850, 150, 131, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.