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 904, 680, 19, 376 i.e. 1 largest integer that divides all the numbers equally.
GCD of 904, 680, 19, 376 is 1
GCD(904, 680, 19, 376) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 904, 680, 19, 376 is 1
GCD(904, 680, 19, 376) = 1
Given Input numbers are 904, 680, 19, 376
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Greatest Common Divisior
We found the divisors of 904, 680, 19, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 680, 19, 376 is 1.
Therefore, GCD of numbers 904, 680, 19, 376 is 1
Given Input Data is 904, 680, 19, 376
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 19 is 19
Prime Factorization of 376 is 2 x 2 x 2 x 47
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(904, 680) = 76840
GCD(904, 680) = ( 904 x 680 ) / 76840
GCD(904, 680) = 614720 / 76840
GCD(904, 680) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 19) = 152
GCD(8, 19) = ( 8 x 19 ) / 152
GCD(8, 19) = 152 / 152
GCD(8, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 376) = 376
GCD(1, 376) = ( 1 x 376 ) / 376
GCD(1, 376) = 376 / 376
GCD(1, 376) = 1
GCD of 904, 680, 19, 376 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 904, 680, 19, 376?
GCD of 904, 680, 19, 376 is 1
2. Where do I get the detailed procedure to find GCD of 904, 680, 19, 376?
You can find a detailed procedure to find GCD of 904, 680, 19, 376 on our page.
3. How to find GCD of 904, 680, 19, 376 on a calculator?
You can find the GCD of 904, 680, 19, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.