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 41, 798, 528, 531 i.e. 1 largest integer that divides all the numbers equally.
GCD of 41, 798, 528, 531 is 1
GCD(41, 798, 528, 531) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 41, 798, 528, 531 is 1
GCD(41, 798, 528, 531) = 1
Given Input numbers are 41, 798, 528, 531
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Greatest Common Divisior
We found the divisors of 41, 798, 528, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 798, 528, 531 is 1.
Therefore, GCD of numbers 41, 798, 528, 531 is 1
Given Input Data is 41, 798, 528, 531
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 41 is 41
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 531 is 3 x 3 x 59
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(41, 798) = 32718
GCD(41, 798) = ( 41 x 798 ) / 32718
GCD(41, 798) = 32718 / 32718
GCD(41, 798) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 528
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 528) = 528
GCD(1, 528) = ( 1 x 528 ) / 528
GCD(1, 528) = 528 / 528
GCD(1, 528) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 531
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 531) = 531
GCD(1, 531) = ( 1 x 531 ) / 531
GCD(1, 531) = 531 / 531
GCD(1, 531) = 1
GCD of 41, 798, 528, 531 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 41, 798, 528, 531?
GCD of 41, 798, 528, 531 is 1
2. Where do I get the detailed procedure to find GCD of 41, 798, 528, 531?
You can find a detailed procedure to find GCD of 41, 798, 528, 531 on our page.
3. How to find GCD of 41, 798, 528, 531 on a calculator?
You can find the GCD of 41, 798, 528, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.