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 884, 425, 30, 706 i.e. 1 largest integer that divides all the numbers equally.
GCD of 884, 425, 30, 706 is 1
GCD(884, 425, 30, 706) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 884, 425, 30, 706 is 1
GCD(884, 425, 30, 706) = 1
Given Input numbers are 884, 425, 30, 706
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Greatest Common Divisior
We found the divisors of 884, 425, 30, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 884, 425, 30, 706 is 1.
Therefore, GCD of numbers 884, 425, 30, 706 is 1
Given Input Data is 884, 425, 30, 706
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 884 is 2 x 2 x 13 x 17
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 706 is 2 x 353
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(884, 425) = 22100
GCD(884, 425) = ( 884 x 425 ) / 22100
GCD(884, 425) = 375700 / 22100
GCD(884, 425) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 30) = 510
GCD(17, 30) = ( 17 x 30 ) / 510
GCD(17, 30) = 510 / 510
GCD(17, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 706
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 706) = 706
GCD(1, 706) = ( 1 x 706 ) / 706
GCD(1, 706) = 706 / 706
GCD(1, 706) = 1
GCD of 884, 425, 30, 706 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 884, 425, 30, 706?
GCD of 884, 425, 30, 706 is 1
2. Where do I get the detailed procedure to find GCD of 884, 425, 30, 706?
You can find a detailed procedure to find GCD of 884, 425, 30, 706 on our page.
3. How to find GCD of 884, 425, 30, 706 on a calculator?
You can find the GCD of 884, 425, 30, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.