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 890, 855, 850 i.e. 5 largest integer that divides all the numbers equally.
GCD of 890, 855, 850 is 5
GCD(890, 855, 850) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 890, 855, 850 is 5
GCD(890, 855, 850) = 5
Given Input numbers are 890, 855, 850
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
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 890, 855, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 855, 850 is 5.
Therefore, GCD of numbers 890, 855, 850 is 5
Given Input Data is 890, 855, 850
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 850 is 2 x 5 x 5 x 17
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(890, 855) = 152190
GCD(890, 855) = ( 890 x 855 ) / 152190
GCD(890, 855) = 760950 / 152190
GCD(890, 855) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 850) = 850
GCD(5, 850) = ( 5 x 850 ) / 850
GCD(5, 850) = 4250 / 850
GCD(5, 850) = 5
GCD of 890, 855, 850 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 890, 855, 850?
GCD of 890, 855, 850 is 5
2. Where do I get the detailed procedure to find GCD of 890, 855, 850?
You can find a detailed procedure to find GCD of 890, 855, 850 on our page.
3. How to find GCD of 890, 855, 850 on a calculator?
You can find the GCD of 890, 855, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.