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 160, 271, 912, 190 i.e. 1 largest integer that divides all the numbers equally.
GCD of 160, 271, 912, 190 is 1
GCD(160, 271, 912, 190) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 160, 271, 912, 190 is 1
GCD(160, 271, 912, 190) = 1
Given Input numbers are 160, 271, 912, 190
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Greatest Common Divisior
We found the divisors of 160, 271, 912, 190 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 271, 912, 190 is 1.
Therefore, GCD of numbers 160, 271, 912, 190 is 1
Given Input Data is 160, 271, 912, 190
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 271 is 271
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 190 is 2 x 5 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(160, 271) = 43360
GCD(160, 271) = ( 160 x 271 ) / 43360
GCD(160, 271) = 43360 / 43360
GCD(160, 271) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 912) = 912
GCD(1, 912) = ( 1 x 912 ) / 912
GCD(1, 912) = 912 / 912
GCD(1, 912) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 190
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 190) = 190
GCD(1, 190) = ( 1 x 190 ) / 190
GCD(1, 190) = 190 / 190
GCD(1, 190) = 1
GCD of 160, 271, 912, 190 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 160, 271, 912, 190?
GCD of 160, 271, 912, 190 is 1
2. Where do I get the detailed procedure to find GCD of 160, 271, 912, 190?
You can find a detailed procedure to find GCD of 160, 271, 912, 190 on our page.
3. How to find GCD of 160, 271, 912, 190 on a calculator?
You can find the GCD of 160, 271, 912, 190 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.