GCD of 354, 623, 696, 913 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 354, 623, 696, 913 i.e. 1 largest integer that divides all the numbers equally.

GCD of 354, 623, 696, 913 is 1

GCD(354, 623, 696, 913) = 1

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

GCD of

GCD of numbers 354, 623, 696, 913 is 1

GCD(354, 623, 696, 913) = 1

GCD of 354,623,696,913 Calculator

GCDof 354,623,696,913 is 1

Given Input numbers are 354, 623, 696, 913

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 354, 623, 696, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 623, 696, 913 is 1.

Therefore, GCD of numbers 354, 623, 696, 913 is 1

Finding GCD of 354, 623, 696, 913 using Prime Factorization

Given Input Data is 354, 623, 696, 913

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 623 is 7 x 89

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 913 is 11 x 83

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

Finding GCD of 354, 623, 696, 913 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(354, 623) = 220542

GCD(354, 623) = ( 354 x 623 ) / 220542

GCD(354, 623) = 220542 / 220542

GCD(354, 623) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 696

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

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

GCD(1, 696) = 696 / 696

GCD(1, 696) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 913

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

LCM(1, 913) = 913

GCD(1, 913) = ( 1 x 913 ) / 913

GCD(1, 913) = 913 / 913

GCD(1, 913) = 1

GCD of 354, 623, 696, 913 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 354, 623, 696, 913

1. What is the GCD of 354, 623, 696, 913?

GCD of 354, 623, 696, 913 is 1


2. Where do I get the detailed procedure to find GCD of 354, 623, 696, 913?

You can find a detailed procedure to find GCD of 354, 623, 696, 913 on our page.


3. How to find GCD of 354, 623, 696, 913 on a calculator?

You can find the GCD of 354, 623, 696, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.