GCD of 704, 857, 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 704, 857, 743 i.e. 1 largest integer that divides all the numbers equally.

GCD of 704, 857, 743 is 1

GCD(704, 857, 743) = 1

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

GCD of

GCD of numbers 704, 857, 743 is 1

GCD(704, 857, 743) = 1

GCD of 704,857,743 Calculator

GCDof 704,857,743 is 1

Given Input numbers are 704, 857, 743

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

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

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

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 704, 857, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 857, 743 is 1.

Therefore, GCD of numbers 704, 857, 743 is 1

Finding GCD of 704, 857, 743 using Prime Factorization

Given Input Data is 704, 857, 743

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

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

Prime Factorization of 857 is 857

Prime Factorization of 743 is 743

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

Finding GCD of 704, 857, 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(704, 857) = 603328

GCD(704, 857) = ( 704 x 857 ) / 603328

GCD(704, 857) = 603328 / 603328

GCD(704, 857) = 1


Step2:

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 704, 857, 743 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 704, 857, 743

1. What is the GCD of 704, 857, 743?

GCD of 704, 857, 743 is 1


2. Where do I get the detailed procedure to find GCD of 704, 857, 743?

You can find a detailed procedure to find GCD of 704, 857, 743 on our page.


3. How to find GCD of 704, 857, 743 on a calculator?

You can find the GCD of 704, 857, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.