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 331, 784, 685, 411 i.e. 1 largest integer that divides all the numbers equally.
GCD of 331, 784, 685, 411 is 1
GCD(331, 784, 685, 411) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 331, 784, 685, 411 is 1
GCD(331, 784, 685, 411) = 1
Given Input numbers are 331, 784, 685, 411
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
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 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 411
List of positive integer divisors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Greatest Common Divisior
We found the divisors of 331, 784, 685, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 784, 685, 411 is 1.
Therefore, GCD of numbers 331, 784, 685, 411 is 1
Given Input Data is 331, 784, 685, 411
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 331 is 331
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 685 is 5 x 137
Prime Factorization of 411 is 3 x 137
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(331, 784) = 259504
GCD(331, 784) = ( 331 x 784 ) / 259504
GCD(331, 784) = 259504 / 259504
GCD(331, 784) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 685) = 685
GCD(1, 685) = ( 1 x 685 ) / 685
GCD(1, 685) = 685 / 685
GCD(1, 685) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 411
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 411) = 411
GCD(1, 411) = ( 1 x 411 ) / 411
GCD(1, 411) = 411 / 411
GCD(1, 411) = 1
GCD of 331, 784, 685, 411 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 331, 784, 685, 411?
GCD of 331, 784, 685, 411 is 1
2. Where do I get the detailed procedure to find GCD of 331, 784, 685, 411?
You can find a detailed procedure to find GCD of 331, 784, 685, 411 on our page.
3. How to find GCD of 331, 784, 685, 411 on a calculator?
You can find the GCD of 331, 784, 685, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.