GCD of 345, 629, 757, 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 345, 629, 757, 469 i.e. 1 largest integer that divides all the numbers equally.

GCD of 345, 629, 757, 469 is 1

GCD(345, 629, 757, 469) = 1

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

GCD of

GCD of numbers 345, 629, 757, 469 is 1

GCD(345, 629, 757, 469) = 1

GCD of 345,629,757,469 Calculator

GCDof 345,629,757,469 is 1

Given Input numbers are 345, 629, 757, 469

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

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 345, 629, 757, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 629, 757, 469 is 1.

Therefore, GCD of numbers 345, 629, 757, 469 is 1

Finding GCD of 345, 629, 757, 469 using Prime Factorization

Given Input Data is 345, 629, 757, 469

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 629 is 17 x 37

Prime Factorization of 757 is 757

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 345, 629, 757, 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(345, 629) = 217005

GCD(345, 629) = ( 345 x 629 ) / 217005

GCD(345, 629) = 217005 / 217005

GCD(345, 629) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 757

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

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

GCD(1, 757) = 757 / 757

GCD(1, 757) = 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 345, 629, 757, 469 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 345, 629, 757, 469

1. What is the GCD of 345, 629, 757, 469?

GCD of 345, 629, 757, 469 is 1


2. Where do I get the detailed procedure to find GCD of 345, 629, 757, 469?

You can find a detailed procedure to find GCD of 345, 629, 757, 469 on our page.


3. How to find GCD of 345, 629, 757, 469 on a calculator?

You can find the GCD of 345, 629, 757, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.