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 391, 705, 395, 364 i.e. 1 largest integer that divides all the numbers equally.
GCD of 391, 705, 395, 364 is 1
GCD(391, 705, 395, 364) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 391, 705, 395, 364 is 1
GCD(391, 705, 395, 364) = 1
Given Input numbers are 391, 705, 395, 364
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Greatest Common Divisior
We found the divisors of 391, 705, 395, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 705, 395, 364 is 1.
Therefore, GCD of numbers 391, 705, 395, 364 is 1
Given Input Data is 391, 705, 395, 364
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 391 is 17 x 23
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 395 is 5 x 79
Prime Factorization of 364 is 2 x 2 x 7 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(391, 705) = 275655
GCD(391, 705) = ( 391 x 705 ) / 275655
GCD(391, 705) = 275655 / 275655
GCD(391, 705) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 395
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 395) = 395
GCD(1, 395) = ( 1 x 395 ) / 395
GCD(1, 395) = 395 / 395
GCD(1, 395) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 364) = 364
GCD(1, 364) = ( 1 x 364 ) / 364
GCD(1, 364) = 364 / 364
GCD(1, 364) = 1
GCD of 391, 705, 395, 364 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 391, 705, 395, 364?
GCD of 391, 705, 395, 364 is 1
2. Where do I get the detailed procedure to find GCD of 391, 705, 395, 364?
You can find a detailed procedure to find GCD of 391, 705, 395, 364 on our page.
3. How to find GCD of 391, 705, 395, 364 on a calculator?
You can find the GCD of 391, 705, 395, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.