GCD of 737, 729, 686, 412 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 737, 729, 686, 412 i.e. 1 largest integer that divides all the numbers equally.

GCD of 737, 729, 686, 412 is 1

GCD(737, 729, 686, 412) = 1

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

GCD of

GCD of numbers 737, 729, 686, 412 is 1

GCD(737, 729, 686, 412) = 1

GCD of 737,729,686,412 Calculator

GCDof 737,729,686,412 is 1

Given Input numbers are 737, 729, 686, 412

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

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 737, 729, 686, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 737, 729, 686, 412 is 1.

Therefore, GCD of numbers 737, 729, 686, 412 is 1

Finding GCD of 737, 729, 686, 412 using Prime Factorization

Given Input Data is 737, 729, 686, 412

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

Prime Factorization of 737 is 11 x 67

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 412 is 2 x 2 x 103

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

Finding GCD of 737, 729, 686, 412 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(737, 729) = 537273

GCD(737, 729) = ( 737 x 729 ) / 537273

GCD(737, 729) = 537273 / 537273

GCD(737, 729) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 737, 729, 686, 412 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 737, 729, 686, 412

1. What is the GCD of 737, 729, 686, 412?

GCD of 737, 729, 686, 412 is 1


2. Where do I get the detailed procedure to find GCD of 737, 729, 686, 412?

You can find a detailed procedure to find GCD of 737, 729, 686, 412 on our page.


3. How to find GCD of 737, 729, 686, 412 on a calculator?

You can find the GCD of 737, 729, 686, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.