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, 766, 47, 143 i.e. 1 largest integer that divides all the numbers equally.
GCD of 831, 766, 47, 143 is 1
GCD(831, 766, 47, 143) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 831, 766, 47, 143 is 1
GCD(831, 766, 47, 143) = 1
Given Input numbers are 831, 766, 47, 143
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 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Greatest Common Divisior
We found the divisors of 831, 766, 47, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 766, 47, 143 is 1.
Therefore, GCD of numbers 831, 766, 47, 143 is 1
Given Input Data is 831, 766, 47, 143
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 831 is 3 x 277
Prime Factorization of 766 is 2 x 383
Prime Factorization of 47 is 47
Prime Factorization of 143 is 11 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(831, 766) = 636546
GCD(831, 766) = ( 831 x 766 ) / 636546
GCD(831, 766) = 636546 / 636546
GCD(831, 766) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 143) = 143
GCD(1, 143) = ( 1 x 143 ) / 143
GCD(1, 143) = 143 / 143
GCD(1, 143) = 1
GCD of 831, 766, 47, 143 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 831, 766, 47, 143?
GCD of 831, 766, 47, 143 is 1
2. Where do I get the detailed procedure to find GCD of 831, 766, 47, 143?
You can find a detailed procedure to find GCD of 831, 766, 47, 143 on our page.
3. How to find GCD of 831, 766, 47, 143 on a calculator?
You can find the GCD of 831, 766, 47, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.