GCD of 706, 763, 648, 303 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 706, 763, 648, 303 i.e. 1 largest integer that divides all the numbers equally.

GCD of 706, 763, 648, 303 is 1

GCD(706, 763, 648, 303) = 1

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

GCD of

GCD of numbers 706, 763, 648, 303 is 1

GCD(706, 763, 648, 303) = 1

GCD of 706,763,648,303 Calculator

GCDof 706,763,648,303 is 1

Given Input numbers are 706, 763, 648, 303

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 706, 763, 648, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 763, 648, 303 is 1.

Therefore, GCD of numbers 706, 763, 648, 303 is 1

Finding GCD of 706, 763, 648, 303 using Prime Factorization

Given Input Data is 706, 763, 648, 303

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 763 is 7 x 109

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 303 is 3 x 101

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

Finding GCD of 706, 763, 648, 303 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(706, 763) = 538678

GCD(706, 763) = ( 706 x 763 ) / 538678

GCD(706, 763) = 538678 / 538678

GCD(706, 763) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 303

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

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

GCD(1, 303) = 303 / 303

GCD(1, 303) = 1

GCD of 706, 763, 648, 303 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 706, 763, 648, 303

1. What is the GCD of 706, 763, 648, 303?

GCD of 706, 763, 648, 303 is 1


2. Where do I get the detailed procedure to find GCD of 706, 763, 648, 303?

You can find a detailed procedure to find GCD of 706, 763, 648, 303 on our page.


3. How to find GCD of 706, 763, 648, 303 on a calculator?

You can find the GCD of 706, 763, 648, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.