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 446, 820, 925, 304 i.e. 1 largest integer that divides all the numbers equally.
GCD of 446, 820, 925, 304 is 1
GCD(446, 820, 925, 304) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 446, 820, 925, 304 is 1
GCD(446, 820, 925, 304) = 1
Given Input numbers are 446, 820, 925, 304
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Greatest Common Divisior
We found the divisors of 446, 820, 925, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 820, 925, 304 is 1.
Therefore, GCD of numbers 446, 820, 925, 304 is 1
Given Input Data is 446, 820, 925, 304
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 446 is 2 x 223
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
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(446, 820) = 182860
GCD(446, 820) = ( 446 x 820 ) / 182860
GCD(446, 820) = 365720 / 182860
GCD(446, 820) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 925
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 925) = 1850
GCD(2, 925) = ( 2 x 925 ) / 1850
GCD(2, 925) = 1850 / 1850
GCD(2, 925) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
GCD of 446, 820, 925, 304 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 446, 820, 925, 304?
GCD of 446, 820, 925, 304 is 1
2. Where do I get the detailed procedure to find GCD of 446, 820, 925, 304?
You can find a detailed procedure to find GCD of 446, 820, 925, 304 on our page.
3. How to find GCD of 446, 820, 925, 304 on a calculator?
You can find the GCD of 446, 820, 925, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.