GCD of 49, 434, 377, 469 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 49, 434, 377, 469 i.e. 1 largest integer that divides all the numbers equally.

GCD of 49, 434, 377, 469 is 1

GCD(49, 434, 377, 469) = 1

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

GCD of

GCD of numbers 49, 434, 377, 469 is 1

GCD(49, 434, 377, 469) = 1

GCD of 49,434,377,469 Calculator

GCDof 49,434,377,469 is 1

Given Input numbers are 49, 434, 377, 469

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 49, 434, 377, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 434, 377, 469 is 1.

Therefore, GCD of numbers 49, 434, 377, 469 is 1

Finding GCD of 49, 434, 377, 469 using Prime Factorization

Given Input Data is 49, 434, 377, 469

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 377 is 13 x 29

Prime Factorization of 469 is 7 x 67

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

Finding GCD of 49, 434, 377, 469 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(49, 434) = 3038

GCD(49, 434) = ( 49 x 434 ) / 3038

GCD(49, 434) = 21266 / 3038

GCD(49, 434) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 377

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

LCM(7, 377) = 2639

GCD(7, 377) = ( 7 x 377 ) / 2639

GCD(7, 377) = 2639 / 2639

GCD(7, 377) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 49, 434, 377, 469 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 49, 434, 377, 469

1. What is the GCD of 49, 434, 377, 469?

GCD of 49, 434, 377, 469 is 1


2. Where do I get the detailed procedure to find GCD of 49, 434, 377, 469?

You can find a detailed procedure to find GCD of 49, 434, 377, 469 on our page.


3. How to find GCD of 49, 434, 377, 469 on a calculator?

You can find the GCD of 49, 434, 377, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.