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 320, 399, 779, 371 i.e. 1 largest integer that divides all the numbers equally.
GCD of 320, 399, 779, 371 is 1
GCD(320, 399, 779, 371) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 399, 779, 371 is 1
GCD(320, 399, 779, 371) = 1
Given Input numbers are 320, 399, 779, 371
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
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 320, 399, 779, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 399, 779, 371 is 1.
Therefore, GCD of numbers 320, 399, 779, 371 is 1
Given Input Data is 320, 399, 779, 371
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 779 is 19 x 41
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(320, 399) = 127680
GCD(320, 399) = ( 320 x 399 ) / 127680
GCD(320, 399) = 127680 / 127680
GCD(320, 399) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 779
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 779) = 779
GCD(1, 779) = ( 1 x 779 ) / 779
GCD(1, 779) = 779 / 779
GCD(1, 779) = 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 320, 399, 779, 371 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 320, 399, 779, 371?
GCD of 320, 399, 779, 371 is 1
2. Where do I get the detailed procedure to find GCD of 320, 399, 779, 371?
You can find a detailed procedure to find GCD of 320, 399, 779, 371 on our page.
3. How to find GCD of 320, 399, 779, 371 on a calculator?
You can find the GCD of 320, 399, 779, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.