GCD of 763, 972, 704 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 763, 972, 704 i.e. 1 largest integer that divides all the numbers equally.

GCD of 763, 972, 704 is 1

GCD(763, 972, 704) = 1

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

GCD of

GCD of numbers 763, 972, 704 is 1

GCD(763, 972, 704) = 1

GCD of 763,972,704 Calculator

GCDof 763,972,704 is 1

Given Input numbers are 763, 972, 704

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

Divisors of 763

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

1, 7, 109, 763

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 763, 972, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 763, 972, 704 is 1.

Therefore, GCD of numbers 763, 972, 704 is 1

Finding GCD of 763, 972, 704 using Prime Factorization

Given Input Data is 763, 972, 704

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

Prime Factorization of 763 is 7 x 109

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Finding GCD of 763, 972, 704 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(763, 972) = 741636

GCD(763, 972) = ( 763 x 972 ) / 741636

GCD(763, 972) = 741636 / 741636

GCD(763, 972) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 763, 972, 704 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 763, 972, 704

1. What is the GCD of 763, 972, 704?

GCD of 763, 972, 704 is 1


2. Where do I get the detailed procedure to find GCD of 763, 972, 704?

You can find a detailed procedure to find GCD of 763, 972, 704 on our page.


3. How to find GCD of 763, 972, 704 on a calculator?

You can find the GCD of 763, 972, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.