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, 727, 849, 374 i.e. 1 largest integer that divides all the numbers equally.
GCD of 850, 727, 849, 374 is 1
GCD(850, 727, 849, 374) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 850, 727, 849, 374 is 1
GCD(850, 727, 849, 374) = 1
Given Input numbers are 850, 727, 849, 374
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 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Greatest Common Divisior
We found the divisors of 850, 727, 849, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 727, 849, 374 is 1.
Therefore, GCD of numbers 850, 727, 849, 374 is 1
Given Input Data is 850, 727, 849, 374
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 727 is 727
Prime Factorization of 849 is 3 x 283
Prime Factorization of 374 is 2 x 11 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(850, 727) = 617950
GCD(850, 727) = ( 850 x 727 ) / 617950
GCD(850, 727) = 617950 / 617950
GCD(850, 727) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 849
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 849) = 849
GCD(1, 849) = ( 1 x 849 ) / 849
GCD(1, 849) = 849 / 849
GCD(1, 849) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 374) = 374
GCD(1, 374) = ( 1 x 374 ) / 374
GCD(1, 374) = 374 / 374
GCD(1, 374) = 1
GCD of 850, 727, 849, 374 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 850, 727, 849, 374?
GCD of 850, 727, 849, 374 is 1
2. Where do I get the detailed procedure to find GCD of 850, 727, 849, 374?
You can find a detailed procedure to find GCD of 850, 727, 849, 374 on our page.
3. How to find GCD of 850, 727, 849, 374 on a calculator?
You can find the GCD of 850, 727, 849, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.