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 376, 960, 82, 335 i.e. 1 largest integer that divides all the numbers equally.
GCD of 376, 960, 82, 335 is 1
GCD(376, 960, 82, 335) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 376, 960, 82, 335 is 1
GCD(376, 960, 82, 335) = 1
Given Input numbers are 376, 960, 82, 335
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Greatest Common Divisior
We found the divisors of 376, 960, 82, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 960, 82, 335 is 1.
Therefore, GCD of numbers 376, 960, 82, 335 is 1
Given Input Data is 376, 960, 82, 335
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 82 is 2 x 41
Prime Factorization of 335 is 5 x 67
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(376, 960) = 45120
GCD(376, 960) = ( 376 x 960 ) / 45120
GCD(376, 960) = 360960 / 45120
GCD(376, 960) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 82) = 328
GCD(8, 82) = ( 8 x 82 ) / 328
GCD(8, 82) = 656 / 328
GCD(8, 82) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 335) = 670
GCD(2, 335) = ( 2 x 335 ) / 670
GCD(2, 335) = 670 / 670
GCD(2, 335) = 1
GCD of 376, 960, 82, 335 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 376, 960, 82, 335?
GCD of 376, 960, 82, 335 is 1
2. Where do I get the detailed procedure to find GCD of 376, 960, 82, 335?
You can find a detailed procedure to find GCD of 376, 960, 82, 335 on our page.
3. How to find GCD of 376, 960, 82, 335 on a calculator?
You can find the GCD of 376, 960, 82, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.