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GCD of 226, 918, 825 Calculator

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


Online GCD Calculator is useful to find the GCD of 226, 918, 825 quickly. Get the easiest ways to solve the greatest common divisor of 226, 918, 825 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 226, 918, 825 with Factoring?

Given Input numbers are 226, 918, 825

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

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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


GCD of numbers is the greatest common divisor

So, the GCD (226, 918, 825) = 1.

Find GCD of 226, 918, 825 using Prime Factorization

Given numbers are 226, 918, 825

The list of prime factors of all numbers are

Prime factors of 226 are 2 x 113

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

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

Steps to Calculate GCD of 226, 918, 825 using LCM Formula

Given numbers are 226, 918, 825

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

Apply this formula for all numbers.

Step1:

LCM(226, 918) = 103734

GCD(226, 918) = ( 226 x 918 ) / 103734

= 226 / 918

= 226


Step2:

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

= 2 / 825

= 2


So, Greatest Common Divisor of 226, 918, 825 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 226, 918, 825

Given numbers are 226, 918, 825
The greatest common divisor of numbers 226, 918, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 226, 918, 825 is 1.

FAQs on GCD of 226, 918, 825 Calculator

1. What is the GCD of 226, 918, 825?

GCD of given numbers 226, 918, 825 is 1


2. How to calculate the greatest common divisor of 226, 918, 825?

We can find the highest common divisor of 226, 918, 825 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 226, 918, 825 i.e 1.


3. How can I use the GCD of 226, 918, 825Calculator?

Out the numbers 226, 918, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.