GCD of 400, 991, 41, 531 Calculator

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

GCD of numbers 400, 991, 41, 531 is 1

GCD(400, 991, 41, 531) = 1

GCD of 400,991,41,531 Calculator

GCDof 400,991,41,531 is 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

Finding GCD of 400, 991, 41, 531 using Prime Factorization

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

Finding GCD of 400, 991, 41, 531 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 400, 991, 41, 531

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.