GCD of 992, 170, 802, 749 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 992, 170, 802, 749 i.e. 1 largest integer that divides all the numbers equally.

GCD of 992, 170, 802, 749 is 1

GCD(992, 170, 802, 749) = 1

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

GCD of

GCD of numbers 992, 170, 802, 749 is 1

GCD(992, 170, 802, 749) = 1

GCD of 992,170,802,749 Calculator

GCDof 992,170,802,749 is 1

Given Input numbers are 992, 170, 802, 749

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 992, 170, 802, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 170, 802, 749 is 1.

Therefore, GCD of numbers 992, 170, 802, 749 is 1

Finding GCD of 992, 170, 802, 749 using Prime Factorization

Given Input Data is 992, 170, 802, 749

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 802 is 2 x 401

Prime Factorization of 749 is 7 x 107

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

Finding GCD of 992, 170, 802, 749 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(992, 170) = 84320

GCD(992, 170) = ( 992 x 170 ) / 84320

GCD(992, 170) = 168640 / 84320

GCD(992, 170) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 802

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

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

GCD(2, 802) = 1604 / 802

GCD(2, 802) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 749

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

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

GCD(2, 749) = 1498 / 1498

GCD(2, 749) = 1

GCD of 992, 170, 802, 749 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 992, 170, 802, 749

1. What is the GCD of 992, 170, 802, 749?

GCD of 992, 170, 802, 749 is 1


2. Where do I get the detailed procedure to find GCD of 992, 170, 802, 749?

You can find a detailed procedure to find GCD of 992, 170, 802, 749 on our page.


3. How to find GCD of 992, 170, 802, 749 on a calculator?

You can find the GCD of 992, 170, 802, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.