GCD of 741, 454, 131, 177 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, 454, 131, 177 i.e. 1 largest integer that divides all the numbers equally.

GCD of 741, 454, 131, 177 is 1

GCD(741, 454, 131, 177) = 1

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

GCD of

GCD of numbers 741, 454, 131, 177 is 1

GCD(741, 454, 131, 177) = 1

GCD of 741,454,131,177 Calculator

GCDof 741,454,131,177 is 1

Given Input numbers are 741, 454, 131, 177

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 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Greatest Common Divisior

We found the divisors of 741, 454, 131, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 454, 131, 177 is 1.

Therefore, GCD of numbers 741, 454, 131, 177 is 1

Finding GCD of 741, 454, 131, 177 using Prime Factorization

Given Input Data is 741, 454, 131, 177

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 454 is 2 x 227

Prime Factorization of 131 is 131

Prime Factorization of 177 is 3 x 59

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

Finding GCD of 741, 454, 131, 177 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, 454) = 336414

GCD(741, 454) = ( 741 x 454 ) / 336414

GCD(741, 454) = 336414 / 336414

GCD(741, 454) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 177

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

LCM(1, 177) = 177

GCD(1, 177) = ( 1 x 177 ) / 177

GCD(1, 177) = 177 / 177

GCD(1, 177) = 1

GCD of 741, 454, 131, 177 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 741, 454, 131, 177

1. What is the GCD of 741, 454, 131, 177?

GCD of 741, 454, 131, 177 is 1


2. Where do I get the detailed procedure to find GCD of 741, 454, 131, 177?

You can find a detailed procedure to find GCD of 741, 454, 131, 177 on our page.


3. How to find GCD of 741, 454, 131, 177 on a calculator?

You can find the GCD of 741, 454, 131, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.