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 425, 442, 33, 234 i.e. 1 largest integer that divides all the numbers equally.
GCD of 425, 442, 33, 234 is 1
GCD(425, 442, 33, 234) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 425, 442, 33, 234 is 1
GCD(425, 442, 33, 234) = 1
Given Input numbers are 425, 442, 33, 234
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Greatest Common Divisior
We found the divisors of 425, 442, 33, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 425, 442, 33, 234 is 1.
Therefore, GCD of numbers 425, 442, 33, 234 is 1
Given Input Data is 425, 442, 33, 234
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 33 is 3 x 11
Prime Factorization of 234 is 2 x 3 x 3 x 13
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(425, 442) = 11050
GCD(425, 442) = ( 425 x 442 ) / 11050
GCD(425, 442) = 187850 / 11050
GCD(425, 442) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 33) = 561
GCD(17, 33) = ( 17 x 33 ) / 561
GCD(17, 33) = 561 / 561
GCD(17, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 234) = 234
GCD(1, 234) = ( 1 x 234 ) / 234
GCD(1, 234) = 234 / 234
GCD(1, 234) = 1
GCD of 425, 442, 33, 234 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 425, 442, 33, 234?
GCD of 425, 442, 33, 234 is 1
2. Where do I get the detailed procedure to find GCD of 425, 442, 33, 234?
You can find a detailed procedure to find GCD of 425, 442, 33, 234 on our page.
3. How to find GCD of 425, 442, 33, 234 on a calculator?
You can find the GCD of 425, 442, 33, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.