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 885, 411, 42, 209 i.e. 1 largest integer that divides all the numbers equally.
GCD of 885, 411, 42, 209 is 1
GCD(885, 411, 42, 209) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 885, 411, 42, 209 is 1
GCD(885, 411, 42, 209) = 1
Given Input numbers are 885, 411, 42, 209
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Divisors of 411
List of positive integer divisors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Greatest Common Divisior
We found the divisors of 885, 411, 42, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 885, 411, 42, 209 is 1.
Therefore, GCD of numbers 885, 411, 42, 209 is 1
Given Input Data is 885, 411, 42, 209
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 885 is 3 x 5 x 59
Prime Factorization of 411 is 3 x 137
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 209 is 11 x 19
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(885, 411) = 121245
GCD(885, 411) = ( 885 x 411 ) / 121245
GCD(885, 411) = 363735 / 121245
GCD(885, 411) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 42) = 42
GCD(3, 42) = ( 3 x 42 ) / 42
GCD(3, 42) = 126 / 42
GCD(3, 42) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 209
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 209) = 627
GCD(3, 209) = ( 3 x 209 ) / 627
GCD(3, 209) = 627 / 627
GCD(3, 209) = 1
GCD of 885, 411, 42, 209 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 885, 411, 42, 209?
GCD of 885, 411, 42, 209 is 1
2. Where do I get the detailed procedure to find GCD of 885, 411, 42, 209?
You can find a detailed procedure to find GCD of 885, 411, 42, 209 on our page.
3. How to find GCD of 885, 411, 42, 209 on a calculator?
You can find the GCD of 885, 411, 42, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.