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 867, 484, 75, 446 i.e. 1 largest integer that divides all the numbers equally.
GCD of 867, 484, 75, 446 is 1
GCD(867, 484, 75, 446) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 867, 484, 75, 446 is 1
GCD(867, 484, 75, 446) = 1
Given Input numbers are 867, 484, 75, 446
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Greatest Common Divisior
We found the divisors of 867, 484, 75, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 484, 75, 446 is 1.
Therefore, GCD of numbers 867, 484, 75, 446 is 1
Given Input Data is 867, 484, 75, 446
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 446 is 2 x 223
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(867, 484) = 419628
GCD(867, 484) = ( 867 x 484 ) / 419628
GCD(867, 484) = 419628 / 419628
GCD(867, 484) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 446
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 446) = 446
GCD(1, 446) = ( 1 x 446 ) / 446
GCD(1, 446) = 446 / 446
GCD(1, 446) = 1
GCD of 867, 484, 75, 446 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 867, 484, 75, 446?
GCD of 867, 484, 75, 446 is 1
2. Where do I get the detailed procedure to find GCD of 867, 484, 75, 446?
You can find a detailed procedure to find GCD of 867, 484, 75, 446 on our page.
3. How to find GCD of 867, 484, 75, 446 on a calculator?
You can find the GCD of 867, 484, 75, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.