GCD of 747, 663, 103, 743 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 747, 663, 103, 743 i.e. 1 largest integer that divides all the numbers equally.

GCD of 747, 663, 103, 743 is 1

GCD(747, 663, 103, 743) = 1

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

GCD of

GCD of numbers 747, 663, 103, 743 is 1

GCD(747, 663, 103, 743) = 1

GCD of 747,663,103,743 Calculator

GCDof 747,663,103,743 is 1

Given Input numbers are 747, 663, 103, 743

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 747, 663, 103, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 663, 103, 743 is 1.

Therefore, GCD of numbers 747, 663, 103, 743 is 1

Finding GCD of 747, 663, 103, 743 using Prime Factorization

Given Input Data is 747, 663, 103, 743

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 103 is 103

Prime Factorization of 743 is 743

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

Finding GCD of 747, 663, 103, 743 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(747, 663) = 165087

GCD(747, 663) = ( 747 x 663 ) / 165087

GCD(747, 663) = 495261 / 165087

GCD(747, 663) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 103

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

LCM(3, 103) = 309

GCD(3, 103) = ( 3 x 103 ) / 309

GCD(3, 103) = 309 / 309

GCD(3, 103) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 747, 663, 103, 743 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 747, 663, 103, 743

1. What is the GCD of 747, 663, 103, 743?

GCD of 747, 663, 103, 743 is 1


2. Where do I get the detailed procedure to find GCD of 747, 663, 103, 743?

You can find a detailed procedure to find GCD of 747, 663, 103, 743 on our page.


3. How to find GCD of 747, 663, 103, 743 on a calculator?

You can find the GCD of 747, 663, 103, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.