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, 106, 30, 160 i.e. 1 largest integer that divides all the numbers equally.
GCD of 885, 106, 30, 160 is 1
GCD(885, 106, 30, 160) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 885, 106, 30, 160 is 1
GCD(885, 106, 30, 160) = 1
Given Input numbers are 885, 106, 30, 160
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 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Greatest Common Divisior
We found the divisors of 885, 106, 30, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 885, 106, 30, 160 is 1.
Therefore, GCD of numbers 885, 106, 30, 160 is 1
Given Input Data is 885, 106, 30, 160
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 106 is 2 x 53
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
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, 106) = 93810
GCD(885, 106) = ( 885 x 106 ) / 93810
GCD(885, 106) = 93810 / 93810
GCD(885, 106) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
GCD of 885, 106, 30, 160 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 885, 106, 30, 160?
GCD of 885, 106, 30, 160 is 1
2. Where do I get the detailed procedure to find GCD of 885, 106, 30, 160?
You can find a detailed procedure to find GCD of 885, 106, 30, 160 on our page.
3. How to find GCD of 885, 106, 30, 160 on a calculator?
You can find the GCD of 885, 106, 30, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.