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 76, 798, 582, 381 i.e. 1 largest integer that divides all the numbers equally.
GCD of 76, 798, 582, 381 is 1
GCD(76, 798, 582, 381) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 76, 798, 582, 381 is 1
GCD(76, 798, 582, 381) = 1
Given Input numbers are 76, 798, 582, 381
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Greatest Common Divisior
We found the divisors of 76, 798, 582, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 798, 582, 381 is 1.
Therefore, GCD of numbers 76, 798, 582, 381 is 1
Given Input Data is 76, 798, 582, 381
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 582 is 2 x 3 x 97
Prime Factorization of 381 is 3 x 127
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(76, 798) = 1596
GCD(76, 798) = ( 76 x 798 ) / 1596
GCD(76, 798) = 60648 / 1596
GCD(76, 798) = 38
Step2:
Here we consider the GCD from the above i.e. 38 as first number and the next as 582
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(38, 582) = 11058
GCD(38, 582) = ( 38 x 582 ) / 11058
GCD(38, 582) = 22116 / 11058
GCD(38, 582) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 381) = 762
GCD(2, 381) = ( 2 x 381 ) / 762
GCD(2, 381) = 762 / 762
GCD(2, 381) = 1
GCD of 76, 798, 582, 381 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 76, 798, 582, 381?
GCD of 76, 798, 582, 381 is 1
2. Where do I get the detailed procedure to find GCD of 76, 798, 582, 381?
You can find a detailed procedure to find GCD of 76, 798, 582, 381 on our page.
3. How to find GCD of 76, 798, 582, 381 on a calculator?
You can find the GCD of 76, 798, 582, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.