GCD of 441, 334, 109, 701 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 441, 334, 109, 701 i.e. 1 largest integer that divides all the numbers equally.

GCD of 441, 334, 109, 701 is 1

GCD(441, 334, 109, 701) = 1

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

GCD of

GCD of numbers 441, 334, 109, 701 is 1

GCD(441, 334, 109, 701) = 1

GCD of 441,334,109,701 Calculator

GCDof 441,334,109,701 is 1

Given Input numbers are 441, 334, 109, 701

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

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 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Greatest Common Divisior

We found the divisors of 441, 334, 109, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 334, 109, 701 is 1.

Therefore, GCD of numbers 441, 334, 109, 701 is 1

Finding GCD of 441, 334, 109, 701 using Prime Factorization

Given Input Data is 441, 334, 109, 701

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

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 109 is 109

Prime Factorization of 701 is 701

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

Finding GCD of 441, 334, 109, 701 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(441, 334) = 147294

GCD(441, 334) = ( 441 x 334 ) / 147294

GCD(441, 334) = 147294 / 147294

GCD(441, 334) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 701

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

LCM(1, 701) = 701

GCD(1, 701) = ( 1 x 701 ) / 701

GCD(1, 701) = 701 / 701

GCD(1, 701) = 1

GCD of 441, 334, 109, 701 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 441, 334, 109, 701

1. What is the GCD of 441, 334, 109, 701?

GCD of 441, 334, 109, 701 is 1


2. Where do I get the detailed procedure to find GCD of 441, 334, 109, 701?

You can find a detailed procedure to find GCD of 441, 334, 109, 701 on our page.


3. How to find GCD of 441, 334, 109, 701 on a calculator?

You can find the GCD of 441, 334, 109, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.