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 41, 456, 831, 371 i.e. 1 largest integer that divides all the numbers equally.
GCD of 41, 456, 831, 371 is 1
GCD(41, 456, 831, 371) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 41, 456, 831, 371 is 1
GCD(41, 456, 831, 371) = 1
Given Input numbers are 41, 456, 831, 371
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Greatest Common Divisior
We found the divisors of 41, 456, 831, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 456, 831, 371 is 1.
Therefore, GCD of numbers 41, 456, 831, 371 is 1
Given Input Data is 41, 456, 831, 371
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 41 is 41
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 831 is 3 x 277
Prime Factorization of 371 is 7 x 53
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(41, 456) = 18696
GCD(41, 456) = ( 41 x 456 ) / 18696
GCD(41, 456) = 18696 / 18696
GCD(41, 456) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 831
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 831) = 831
GCD(1, 831) = ( 1 x 831 ) / 831
GCD(1, 831) = 831 / 831
GCD(1, 831) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 371) = 371
GCD(1, 371) = ( 1 x 371 ) / 371
GCD(1, 371) = 371 / 371
GCD(1, 371) = 1
GCD of 41, 456, 831, 371 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 41, 456, 831, 371?
GCD of 41, 456, 831, 371 is 1
2. Where do I get the detailed procedure to find GCD of 41, 456, 831, 371?
You can find a detailed procedure to find GCD of 41, 456, 831, 371 on our page.
3. How to find GCD of 41, 456, 831, 371 on a calculator?
You can find the GCD of 41, 456, 831, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.