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, 784, 331, 236 i.e. 1 largest integer that divides all the numbers equally.
GCD of 41, 784, 331, 236 is 1
GCD(41, 784, 331, 236) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 41, 784, 331, 236 is 1
GCD(41, 784, 331, 236) = 1
Given Input numbers are 41, 784, 331, 236
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 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Greatest Common Divisior
We found the divisors of 41, 784, 331, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 784, 331, 236 is 1.
Therefore, GCD of numbers 41, 784, 331, 236 is 1
Given Input Data is 41, 784, 331, 236
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 41 is 41
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 331 is 331
Prime Factorization of 236 is 2 x 2 x 59
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, 784) = 32144
GCD(41, 784) = ( 41 x 784 ) / 32144
GCD(41, 784) = 32144 / 32144
GCD(41, 784) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 331) = 331
GCD(1, 331) = ( 1 x 331 ) / 331
GCD(1, 331) = 331 / 331
GCD(1, 331) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 236
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 236) = 236
GCD(1, 236) = ( 1 x 236 ) / 236
GCD(1, 236) = 236 / 236
GCD(1, 236) = 1
GCD of 41, 784, 331, 236 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 41, 784, 331, 236?
GCD of 41, 784, 331, 236 is 1
2. Where do I get the detailed procedure to find GCD of 41, 784, 331, 236?
You can find a detailed procedure to find GCD of 41, 784, 331, 236 on our page.
3. How to find GCD of 41, 784, 331, 236 on a calculator?
You can find the GCD of 41, 784, 331, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.