GCD of 991, 526, 441, 359 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, 526, 441, 359 i.e. 1 largest integer that divides all the numbers equally.

GCD of 991, 526, 441, 359 is 1

GCD(991, 526, 441, 359) = 1

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

GCD of

GCD of numbers 991, 526, 441, 359 is 1

GCD(991, 526, 441, 359) = 1

GCD of 991,526,441,359 Calculator

GCDof 991,526,441,359 is 1

Given Input numbers are 991, 526, 441, 359

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 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 991, 526, 441, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 526, 441, 359 is 1.

Therefore, GCD of numbers 991, 526, 441, 359 is 1

Finding GCD of 991, 526, 441, 359 using Prime Factorization

Given Input Data is 991, 526, 441, 359

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

Prime Factorization of 991 is 991

Prime Factorization of 526 is 2 x 263

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 359 is 359

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

Finding GCD of 991, 526, 441, 359 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, 526) = 521266

GCD(991, 526) = ( 991 x 526 ) / 521266

GCD(991, 526) = 521266 / 521266

GCD(991, 526) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

GCD of 991, 526, 441, 359 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 991, 526, 441, 359

1. What is the GCD of 991, 526, 441, 359?

GCD of 991, 526, 441, 359 is 1


2. Where do I get the detailed procedure to find GCD of 991, 526, 441, 359?

You can find a detailed procedure to find GCD of 991, 526, 441, 359 on our page.


3. How to find GCD of 991, 526, 441, 359 on a calculator?

You can find the GCD of 991, 526, 441, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.