GCD of 741, 149, 13, 461 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 741, 149, 13, 461 i.e. 1 largest integer that divides all the numbers equally.

GCD of 741, 149, 13, 461 is 1

GCD(741, 149, 13, 461) = 1

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

GCD of

GCD of numbers 741, 149, 13, 461 is 1

GCD(741, 149, 13, 461) = 1

GCD of 741,149,13,461 Calculator

GCDof 741,149,13,461 is 1

Given Input numbers are 741, 149, 13, 461

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

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 741, 149, 13, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 149, 13, 461 is 1.

Therefore, GCD of numbers 741, 149, 13, 461 is 1

Finding GCD of 741, 149, 13, 461 using Prime Factorization

Given Input Data is 741, 149, 13, 461

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 149 is 149

Prime Factorization of 13 is 13

Prime Factorization of 461 is 461

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

Finding GCD of 741, 149, 13, 461 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(741, 149) = 110409

GCD(741, 149) = ( 741 x 149 ) / 110409

GCD(741, 149) = 110409 / 110409

GCD(741, 149) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

GCD of 741, 149, 13, 461 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 741, 149, 13, 461

1. What is the GCD of 741, 149, 13, 461?

GCD of 741, 149, 13, 461 is 1


2. Where do I get the detailed procedure to find GCD of 741, 149, 13, 461?

You can find a detailed procedure to find GCD of 741, 149, 13, 461 on our page.


3. How to find GCD of 741, 149, 13, 461 on a calculator?

You can find the GCD of 741, 149, 13, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.