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 211, 885, 42, 975 i.e. 1 largest integer that divides all the numbers equally.
GCD of 211, 885, 42, 975 is 1
GCD(211, 885, 42, 975) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 211, 885, 42, 975 is 1
GCD(211, 885, 42, 975) = 1
Given Input numbers are 211, 885, 42, 975
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 211
List of positive integer divisors of 211 that divides 211 without a remainder.
1, 211
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 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Greatest Common Divisior
We found the divisors of 211, 885, 42, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 211, 885, 42, 975 is 1.
Therefore, GCD of numbers 211, 885, 42, 975 is 1
Given Input Data is 211, 885, 42, 975
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 211 is 211
Prime Factorization of 885 is 3 x 5 x 59
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 975 is 3 x 5 x 5 x 13
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(211, 885) = 186735
GCD(211, 885) = ( 211 x 885 ) / 186735
GCD(211, 885) = 186735 / 186735
GCD(211, 885) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 975
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
GCD(1, 975) = 975 / 975
GCD(1, 975) = 1
GCD of 211, 885, 42, 975 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 211, 885, 42, 975?
GCD of 211, 885, 42, 975 is 1
2. Where do I get the detailed procedure to find GCD of 211, 885, 42, 975?
You can find a detailed procedure to find GCD of 211, 885, 42, 975 on our page.
3. How to find GCD of 211, 885, 42, 975 on a calculator?
You can find the GCD of 211, 885, 42, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.