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 654, 103, 904, 379 i.e. 1 largest integer that divides all the numbers equally.
GCD of 654, 103, 904, 379 is 1
GCD(654, 103, 904, 379) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 654, 103, 904, 379 is 1
GCD(654, 103, 904, 379) = 1
Given Input numbers are 654, 103, 904, 379
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
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 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Greatest Common Divisior
We found the divisors of 654, 103, 904, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 103, 904, 379 is 1.
Therefore, GCD of numbers 654, 103, 904, 379 is 1
Given Input Data is 654, 103, 904, 379
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 103 is 103
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 379 is 379
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(654, 103) = 67362
GCD(654, 103) = ( 654 x 103 ) / 67362
GCD(654, 103) = 67362 / 67362
GCD(654, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 904
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 904) = 904
GCD(1, 904) = ( 1 x 904 ) / 904
GCD(1, 904) = 904 / 904
GCD(1, 904) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 379
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 379) = 379
GCD(1, 379) = ( 1 x 379 ) / 379
GCD(1, 379) = 379 / 379
GCD(1, 379) = 1
GCD of 654, 103, 904, 379 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 654, 103, 904, 379?
GCD of 654, 103, 904, 379 is 1
2. Where do I get the detailed procedure to find GCD of 654, 103, 904, 379?
You can find a detailed procedure to find GCD of 654, 103, 904, 379 on our page.
3. How to find GCD of 654, 103, 904, 379 on a calculator?
You can find the GCD of 654, 103, 904, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.