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 395, 431, 741, 682 i.e. 1 largest integer that divides all the numbers equally.
GCD of 395, 431, 741, 682 is 1
GCD(395, 431, 741, 682) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 395, 431, 741, 682 is 1
GCD(395, 431, 741, 682) = 1
Given Input numbers are 395, 431, 741, 682
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Greatest Common Divisior
We found the divisors of 395, 431, 741, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 431, 741, 682 is 1.
Therefore, GCD of numbers 395, 431, 741, 682 is 1
Given Input Data is 395, 431, 741, 682
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 395 is 5 x 79
Prime Factorization of 431 is 431
Prime Factorization of 741 is 3 x 13 x 19
Prime Factorization of 682 is 2 x 11 x 31
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(395, 431) = 170245
GCD(395, 431) = ( 395 x 431 ) / 170245
GCD(395, 431) = 170245 / 170245
GCD(395, 431) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 741
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 741) = 741
GCD(1, 741) = ( 1 x 741 ) / 741
GCD(1, 741) = 741 / 741
GCD(1, 741) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 682
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 682) = 682
GCD(1, 682) = ( 1 x 682 ) / 682
GCD(1, 682) = 682 / 682
GCD(1, 682) = 1
GCD of 395, 431, 741, 682 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 395, 431, 741, 682?
GCD of 395, 431, 741, 682 is 1
2. Where do I get the detailed procedure to find GCD of 395, 431, 741, 682?
You can find a detailed procedure to find GCD of 395, 431, 741, 682 on our page.
3. How to find GCD of 395, 431, 741, 682 on a calculator?
You can find the GCD of 395, 431, 741, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.