GCD of 704, 484, 26, 153 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, 484, 26, 153 i.e. 1 largest integer that divides all the numbers equally.

GCD of 704, 484, 26, 153 is 1

GCD(704, 484, 26, 153) = 1

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

GCD of

GCD of numbers 704, 484, 26, 153 is 1

GCD(704, 484, 26, 153) = 1

GCD of 704,484,26,153 Calculator

GCDof 704,484,26,153 is 1

Given Input numbers are 704, 484, 26, 153

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 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 704, 484, 26, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 484, 26, 153 is 1.

Therefore, GCD of numbers 704, 484, 26, 153 is 1

Finding GCD of 704, 484, 26, 153 using Prime Factorization

Given Input Data is 704, 484, 26, 153

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 484 is 2 x 2 x 11 x 11

Prime Factorization of 26 is 2 x 13

Prime Factorization of 153 is 3 x 3 x 17

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

Finding GCD of 704, 484, 26, 153 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, 484) = 7744

GCD(704, 484) = ( 704 x 484 ) / 7744

GCD(704, 484) = 340736 / 7744

GCD(704, 484) = 44


Step2:

Here we consider the GCD from the above i.e. 44 as first number and the next as 26

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

LCM(44, 26) = 572

GCD(44, 26) = ( 44 x 26 ) / 572

GCD(44, 26) = 1144 / 572

GCD(44, 26) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 153

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

LCM(2, 153) = 306

GCD(2, 153) = ( 2 x 153 ) / 306

GCD(2, 153) = 306 / 306

GCD(2, 153) = 1

GCD of 704, 484, 26, 153 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 704, 484, 26, 153

1. What is the GCD of 704, 484, 26, 153?

GCD of 704, 484, 26, 153 is 1


2. Where do I get the detailed procedure to find GCD of 704, 484, 26, 153?

You can find a detailed procedure to find GCD of 704, 484, 26, 153 on our page.


3. How to find GCD of 704, 484, 26, 153 on a calculator?

You can find the GCD of 704, 484, 26, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.