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 831, 160, 28, 475 i.e. 1 largest integer that divides all the numbers equally.
GCD of 831, 160, 28, 475 is 1
GCD(831, 160, 28, 475) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 831, 160, 28, 475 is 1
GCD(831, 160, 28, 475) = 1
Given Input numbers are 831, 160, 28, 475
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
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 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Greatest Common Divisior
We found the divisors of 831, 160, 28, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 160, 28, 475 is 1.
Therefore, GCD of numbers 831, 160, 28, 475 is 1
Given Input Data is 831, 160, 28, 475
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 831 is 3 x 277
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 475 is 5 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(831, 160) = 132960
GCD(831, 160) = ( 831 x 160 ) / 132960
GCD(831, 160) = 132960 / 132960
GCD(831, 160) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 28) = 28
GCD(1, 28) = ( 1 x 28 ) / 28
GCD(1, 28) = 28 / 28
GCD(1, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 475
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 475) = 475
GCD(1, 475) = ( 1 x 475 ) / 475
GCD(1, 475) = 475 / 475
GCD(1, 475) = 1
GCD of 831, 160, 28, 475 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 831, 160, 28, 475?
GCD of 831, 160, 28, 475 is 1
2. Where do I get the detailed procedure to find GCD of 831, 160, 28, 475?
You can find a detailed procedure to find GCD of 831, 160, 28, 475 on our page.
3. How to find GCD of 831, 160, 28, 475 on a calculator?
You can find the GCD of 831, 160, 28, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.