GCD of 990, 831, 850 Calculator
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 990, 831, 850 i.e. 1 largest integer that divides all the numbers equally.
GCD of 990, 831, 850 is 1
GCD(990, 831, 850) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 990, 831, 850 is 1
GCD(990, 831, 850) = 1
GCDof 990,831,850 is 1
Given Input numbers are 990, 831, 850
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
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 990, 831, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 831, 850 is 1.
Therefore, GCD of numbers 990, 831, 850 is 1
Given Input Data is 990, 831, 850
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 831 is 3 x 277
Prime Factorization of 850 is 2 x 5 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 990, 831, 850 using LCM Formula
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(990, 831) = 274230
GCD(990, 831) = ( 990 x 831 ) / 274230
GCD(990, 831) = 822690 / 274230
GCD(990, 831) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 850) = 2550
GCD(3, 850) = ( 3 x 850 ) / 2550
GCD(3, 850) = 2550 / 2550
GCD(3, 850) = 1
GCD of 990, 831, 850 is 1
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FAQs on GCD of numbers 990, 831, 850
1. What is the GCD of 990, 831, 850?
GCD of 990, 831, 850 is 1
2. Where do I get the detailed procedure to find GCD of 990, 831, 850?
You can find a detailed procedure to find GCD of 990, 831, 850 on our page.
3. How to find GCD of 990, 831, 850 on a calculator?
You can find the GCD of 990, 831, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.