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 400, 991, 41, 531 i.e. 1 largest integer that divides all the numbers equally.
GCD of 400, 991, 41, 531 is 1
GCD(400, 991, 41, 531) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 400, 991, 41, 531 is 1
GCD(400, 991, 41, 531) = 1
Given Input numbers are 400, 991, 41, 531
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
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 400, 991, 41, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 991, 41, 531 is 1.
Therefore, GCD of numbers 400, 991, 41, 531 is 1
Given Input Data is 400, 991, 41, 531
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 991 is 991
Prime Factorization of 41 is 41
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(400, 991) = 396400
GCD(400, 991) = ( 400 x 991 ) / 396400
GCD(400, 991) = 396400 / 396400
GCD(400, 991) = 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 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 400, 991, 41, 531 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 400, 991, 41, 531?
GCD of 400, 991, 41, 531 is 1
2. Where do I get the detailed procedure to find GCD of 400, 991, 41, 531?
You can find a detailed procedure to find GCD of 400, 991, 41, 531 on our page.
3. How to find GCD of 400, 991, 41, 531 on a calculator?
You can find the GCD of 400, 991, 41, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.