Where do I get the detailed procedure to find GCD of 803, 825, 242?

You can find a detailed procedure to find GCD of 803, 825, 242 on our page.

How to find GCD of 803, 825, 242 on a calculator?

You can find the GCD of 803, 825, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 803, 825, 242 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 803, 825, 242 quickly. Get the easiest ways to solve the greatest common divisor of 803, 825, 242 i.e 11 in different methods as follows.

How to Find GCD of Numbers 803, 825, 242 with Factoring?

Given Input numbers are 803, 825, 242

In the factoring method, we have to find the divisors of all numbers

Divisors of 803 :

The positive integer divisors of 803 that completely divides 803 are.

1, 11, 73, 803

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

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

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (803, 825, 242) = 11.

Find GCD of 803, 825, 242 using Prime Factorization

Given numbers are 803, 825, 242

The list of prime factors of all numbers are

Prime factors of 803 are 11 x 73

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 242 are 2 x 11 x 11

The highest common occurrence is 11¹

Therefore, GCD of 803, 825, 242 is 11.

Steps to Calculate GCD of 803, 825, 242 using LCM Formula

Given numbers are 803, 825, 242

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(803, 825) = 60225

GCD(803, 825) = ( 803 x 825 ) / 60225

= 803 / 825

= 803

Step2:

LCM(11, 242) = 242

GCD(11, 242) = ( 11 x 242 ) / 242

= 11 / 242

= 11

So, Greatest Common Divisor of 803, 825, 242 is 11

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 803, 825, 242

Given numbers are 803, 825, 242
The greatest common divisor of numbers 803, 825, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 803, 825, 242 is 11.

FAQs on GCD of 803, 825, 242 Calculator

1. What is the GCD of 803, 825, 242?

GCD of given numbers 803, 825, 242 is 11

2. How to calculate the greatest common divisor of 803, 825, 242?

We can find the highest common divisor of 803, 825, 242 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 803, 825, 242 i.e 11.

3. How can I use the GCD of 803, 825, 242Calculator?

Out the numbers 803, 825, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.