GCD of 991, 143, 969, 462 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 991, 143, 969, 462 i.e. 1 largest integer that divides all the numbers equally.

GCD of 991, 143, 969, 462 is 1

GCD(991, 143, 969, 462) = 1

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

GCD of

GCD of numbers 991, 143, 969, 462 is 1

GCD(991, 143, 969, 462) = 1

GCD of 991,143,969,462 Calculator

GCDof 991,143,969,462 is 1

Given Input numbers are 991, 143, 969, 462

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

Divisors of 991

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

1, 991

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 991, 143, 969, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 143, 969, 462 is 1.

Therefore, GCD of numbers 991, 143, 969, 462 is 1

Finding GCD of 991, 143, 969, 462 using Prime Factorization

Given Input Data is 991, 143, 969, 462

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

Prime Factorization of 991 is 991

Prime Factorization of 143 is 11 x 13

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 462 is 2 x 3 x 7 x 11

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

Finding GCD of 991, 143, 969, 462 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(991, 143) = 141713

GCD(991, 143) = ( 991 x 143 ) / 141713

GCD(991, 143) = 141713 / 141713

GCD(991, 143) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 991, 143, 969, 462 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 991, 143, 969, 462

1. What is the GCD of 991, 143, 969, 462?

GCD of 991, 143, 969, 462 is 1


2. Where do I get the detailed procedure to find GCD of 991, 143, 969, 462?

You can find a detailed procedure to find GCD of 991, 143, 969, 462 on our page.


3. How to find GCD of 991, 143, 969, 462 on a calculator?

You can find the GCD of 991, 143, 969, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.