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 321, 904, 416, 140 i.e. 1 largest integer that divides all the numbers equally.
GCD of 321, 904, 416, 140 is 1
GCD(321, 904, 416, 140) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 321, 904, 416, 140 is 1
GCD(321, 904, 416, 140) = 1
Given Input numbers are 321, 904, 416, 140
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
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 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Greatest Common Divisior
We found the divisors of 321, 904, 416, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 904, 416, 140 is 1.
Therefore, GCD of numbers 321, 904, 416, 140 is 1
Given Input Data is 321, 904, 416, 140
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 321 is 3 x 107
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 140 is 2 x 2 x 5 x 7
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(321, 904) = 290184
GCD(321, 904) = ( 321 x 904 ) / 290184
GCD(321, 904) = 290184 / 290184
GCD(321, 904) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 416
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 416) = 416
GCD(1, 416) = ( 1 x 416 ) / 416
GCD(1, 416) = 416 / 416
GCD(1, 416) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
GCD(1, 140) = 140 / 140
GCD(1, 140) = 1
GCD of 321, 904, 416, 140 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 321, 904, 416, 140?
GCD of 321, 904, 416, 140 is 1
2. Where do I get the detailed procedure to find GCD of 321, 904, 416, 140?
You can find a detailed procedure to find GCD of 321, 904, 416, 140 on our page.
3. How to find GCD of 321, 904, 416, 140 on a calculator?
You can find the GCD of 321, 904, 416, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.