GCD of 513, 662, 991 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 513, 662, 991 i.e. 1 largest integer that divides all the numbers equally.

GCD of 513, 662, 991 is 1

GCD(513, 662, 991) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 513, 662, 991 is 1

GCD(513, 662, 991) = 1

GCD of 513,662,991 Calculator

GCDof 513,662,991 is 1

Given Input numbers are 513, 662, 991

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 513, 662, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 662, 991 is 1.

Therefore, GCD of numbers 513, 662, 991 is 1

Finding GCD of 513, 662, 991 using Prime Factorization

Given Input Data is 513, 662, 991

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 662 is 2 x 331

Prime Factorization of 991 is 991

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 513, 662, 991 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(513, 662) = 339606

GCD(513, 662) = ( 513 x 662 ) / 339606

GCD(513, 662) = 339606 / 339606

GCD(513, 662) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 513, 662, 991 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 513, 662, 991

1. What is the GCD of 513, 662, 991?

GCD of 513, 662, 991 is 1


2. Where do I get the detailed procedure to find GCD of 513, 662, 991?

You can find a detailed procedure to find GCD of 513, 662, 991 on our page.


3. How to find GCD of 513, 662, 991 on a calculator?

You can find the GCD of 513, 662, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.