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, 741, 51, 835 i.e. 1 largest integer that divides all the numbers equally.
GCD of 850, 741, 51, 835 is 1
GCD(850, 741, 51, 835) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 850, 741, 51, 835 is 1
GCD(850, 741, 51, 835) = 1
Given Input numbers are 850, 741, 51, 835
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 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Greatest Common Divisior
We found the divisors of 850, 741, 51, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 741, 51, 835 is 1.
Therefore, GCD of numbers 850, 741, 51, 835 is 1
Given Input Data is 850, 741, 51, 835
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 741 is 3 x 13 x 19
Prime Factorization of 51 is 3 x 17
Prime Factorization of 835 is 5 x 167
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, 741) = 629850
GCD(850, 741) = ( 850 x 741 ) / 629850
GCD(850, 741) = 629850 / 629850
GCD(850, 741) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 835
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 835) = 835
GCD(1, 835) = ( 1 x 835 ) / 835
GCD(1, 835) = 835 / 835
GCD(1, 835) = 1
GCD of 850, 741, 51, 835 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 850, 741, 51, 835?
GCD of 850, 741, 51, 835 is 1
2. Where do I get the detailed procedure to find GCD of 850, 741, 51, 835?
You can find a detailed procedure to find GCD of 850, 741, 51, 835 on our page.
3. How to find GCD of 850, 741, 51, 835 on a calculator?
You can find the GCD of 850, 741, 51, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.