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 849, 849, 840, 885 i.e. 3 largest integer that divides all the numbers equally.
GCD of 849, 849, 840, 885 is 3
GCD(849, 849, 840, 885) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 849, 849, 840, 885 is 3
GCD(849, 849, 840, 885) = 3
Given Input numbers are 849, 849, 840, 885
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Greatest Common Divisior
We found the divisors of 849, 849, 840, 885 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 849, 840, 885 is 3.
Therefore, GCD of numbers 849, 849, 840, 885 is 3
Given Input Data is 849, 849, 840, 885
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 849 is 3 x 283
Prime Factorization of 849 is 3 x 283
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 885 is 3 x 5 x 59
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(849, 849) = 849
GCD(849, 849) = ( 849 x 849 ) / 849
GCD(849, 849) = 720801 / 849
GCD(849, 849) = 849
Step2:
Here we consider the GCD from the above i.e. 849 as first number and the next as 840
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(849, 840) = 237720
GCD(849, 840) = ( 849 x 840 ) / 237720
GCD(849, 840) = 713160 / 237720
GCD(849, 840) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 885
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 885) = 885
GCD(3, 885) = ( 3 x 885 ) / 885
GCD(3, 885) = 2655 / 885
GCD(3, 885) = 3
GCD of 849, 849, 840, 885 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 849, 849, 840, 885?
GCD of 849, 849, 840, 885 is 3
2. Where do I get the detailed procedure to find GCD of 849, 849, 840, 885?
You can find a detailed procedure to find GCD of 849, 849, 840, 885 on our page.
3. How to find GCD of 849, 849, 840, 885 on a calculator?
You can find the GCD of 849, 849, 840, 885 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.