GCD of 163, 820, 10, 756 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 163, 820, 10, 756 i.e. 1 largest integer that divides all the numbers equally.

GCD of 163, 820, 10, 756 is 1

GCD(163, 820, 10, 756) = 1

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

GCD of

GCD of numbers 163, 820, 10, 756 is 1

GCD(163, 820, 10, 756) = 1

GCD of 163,820,10,756 Calculator

GCDof 163,820,10,756 is 1

Given Input numbers are 163, 820, 10, 756

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

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 163, 820, 10, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 163, 820, 10, 756 is 1.

Therefore, GCD of numbers 163, 820, 10, 756 is 1

Finding GCD of 163, 820, 10, 756 using Prime Factorization

Given Input Data is 163, 820, 10, 756

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

Prime Factorization of 163 is 163

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 10 is 2 x 5

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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

Finding GCD of 163, 820, 10, 756 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(163, 820) = 133660

GCD(163, 820) = ( 163 x 820 ) / 133660

GCD(163, 820) = 133660 / 133660

GCD(163, 820) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 163, 820, 10, 756 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 163, 820, 10, 756

1. What is the GCD of 163, 820, 10, 756?

GCD of 163, 820, 10, 756 is 1


2. Where do I get the detailed procedure to find GCD of 163, 820, 10, 756?

You can find a detailed procedure to find GCD of 163, 820, 10, 756 on our page.


3. How to find GCD of 163, 820, 10, 756 on a calculator?

You can find the GCD of 163, 820, 10, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.