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 334, 531, 41, 442 i.e. 1 largest integer that divides all the numbers equally.
GCD of 334, 531, 41, 442 is 1
GCD(334, 531, 41, 442) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 334, 531, 41, 442 is 1
GCD(334, 531, 41, 442) = 1
Given Input numbers are 334, 531, 41, 442
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Greatest Common Divisior
We found the divisors of 334, 531, 41, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 531, 41, 442 is 1.
Therefore, GCD of numbers 334, 531, 41, 442 is 1
Given Input Data is 334, 531, 41, 442
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 334 is 2 x 167
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 41 is 41
Prime Factorization of 442 is 2 x 13 x 17
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(334, 531) = 177354
GCD(334, 531) = ( 334 x 531 ) / 177354
GCD(334, 531) = 177354 / 177354
GCD(334, 531) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 41) = 41
GCD(1, 41) = ( 1 x 41 ) / 41
GCD(1, 41) = 41 / 41
GCD(1, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
GCD(1, 442) = 442 / 442
GCD(1, 442) = 1
GCD of 334, 531, 41, 442 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 334, 531, 41, 442?
GCD of 334, 531, 41, 442 is 1
2. Where do I get the detailed procedure to find GCD of 334, 531, 41, 442?
You can find a detailed procedure to find GCD of 334, 531, 41, 442 on our page.
3. How to find GCD of 334, 531, 41, 442 on a calculator?
You can find the GCD of 334, 531, 41, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.