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, 753, 371, 312 i.e. 1 largest integer that divides all the numbers equally.
GCD of 850, 753, 371, 312 is 1
GCD(850, 753, 371, 312) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 850, 753, 371, 312 is 1
GCD(850, 753, 371, 312) = 1
Given Input numbers are 850, 753, 371, 312
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 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Greatest Common Divisior
We found the divisors of 850, 753, 371, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 753, 371, 312 is 1.
Therefore, GCD of numbers 850, 753, 371, 312 is 1
Given Input Data is 850, 753, 371, 312
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 753 is 3 x 251
Prime Factorization of 371 is 7 x 53
Prime Factorization of 312 is 2 x 2 x 2 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, 753) = 640050
GCD(850, 753) = ( 850 x 753 ) / 640050
GCD(850, 753) = 640050 / 640050
GCD(850, 753) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 371) = 371
GCD(1, 371) = ( 1 x 371 ) / 371
GCD(1, 371) = 371 / 371
GCD(1, 371) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
GCD(1, 312) = 312 / 312
GCD(1, 312) = 1
GCD of 850, 753, 371, 312 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 850, 753, 371, 312?
GCD of 850, 753, 371, 312 is 1
2. Where do I get the detailed procedure to find GCD of 850, 753, 371, 312?
You can find a detailed procedure to find GCD of 850, 753, 371, 312 on our page.
3. How to find GCD of 850, 753, 371, 312 on a calculator?
You can find the GCD of 850, 753, 371, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.