GCD of 169, 825, 28, 763 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 169, 825, 28, 763 i.e. 1 largest integer that divides all the numbers equally.

GCD of 169, 825, 28, 763 is 1

GCD(169, 825, 28, 763) = 1

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

GCD of

GCD of numbers 169, 825, 28, 763 is 1

GCD(169, 825, 28, 763) = 1

GCD of 169,825,28,763 Calculator

GCDof 169,825,28,763 is 1

Given Input numbers are 169, 825, 28, 763

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

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 763

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

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 169, 825, 28, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 825, 28, 763 is 1.

Therefore, GCD of numbers 169, 825, 28, 763 is 1

Finding GCD of 169, 825, 28, 763 using Prime Factorization

Given Input Data is 169, 825, 28, 763

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 763 is 7 x 109

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

Finding GCD of 169, 825, 28, 763 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(169, 825) = 139425

GCD(169, 825) = ( 169 x 825 ) / 139425

GCD(169, 825) = 139425 / 139425

GCD(169, 825) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 169, 825, 28, 763 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 169, 825, 28, 763

1. What is the GCD of 169, 825, 28, 763?

GCD of 169, 825, 28, 763 is 1


2. Where do I get the detailed procedure to find GCD of 169, 825, 28, 763?

You can find a detailed procedure to find GCD of 169, 825, 28, 763 on our page.


3. How to find GCD of 169, 825, 28, 763 on a calculator?

You can find the GCD of 169, 825, 28, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.