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, 151, 163, 820 i.e. 1 largest integer that divides all the numbers equally.
GCD of 831, 151, 163, 820 is 1
GCD(831, 151, 163, 820) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 831, 151, 163, 820 is 1
GCD(831, 151, 163, 820) = 1
Given Input numbers are 831, 151, 163, 820
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 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Greatest Common Divisior
We found the divisors of 831, 151, 163, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 151, 163, 820 is 1.
Therefore, GCD of numbers 831, 151, 163, 820 is 1
Given Input Data is 831, 151, 163, 820
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 831 is 3 x 277
Prime Factorization of 151 is 151
Prime Factorization of 163 is 163
Prime Factorization of 820 is 2 x 2 x 5 x 41
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, 151) = 125481
GCD(831, 151) = ( 831 x 151 ) / 125481
GCD(831, 151) = 125481 / 125481
GCD(831, 151) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 163
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 163) = 163
GCD(1, 163) = ( 1 x 163 ) / 163
GCD(1, 163) = 163 / 163
GCD(1, 163) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
GCD(1, 820) = 820 / 820
GCD(1, 820) = 1
GCD of 831, 151, 163, 820 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 831, 151, 163, 820?
GCD of 831, 151, 163, 820 is 1
2. Where do I get the detailed procedure to find GCD of 831, 151, 163, 820?
You can find a detailed procedure to find GCD of 831, 151, 163, 820 on our page.
3. How to find GCD of 831, 151, 163, 820 on a calculator?
You can find the GCD of 831, 151, 163, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.