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GCD of 225, 243, 823, 745 Calculator

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


Online GCD Calculator is useful to find the GCD of 225, 243, 823, 745 quickly. Get the easiest ways to solve the greatest common divisor of 225, 243, 823, 745 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 225, 243, 823, 745 with Factoring?

Given Input numbers are 225, 243, 823, 745

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

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745


GCD of numbers is the greatest common divisor

So, the GCD (225, 243, 823, 745) = 1.

Find GCD of 225, 243, 823, 745 using Prime Factorization

Given numbers are 225, 243, 823, 745

The list of prime factors of all numbers are

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 823 are 823

Prime factors of 745 are 5 x 149

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

Steps to Calculate GCD of 225, 243, 823, 745 using LCM Formula

Given numbers are 225, 243, 823, 745

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

Apply this formula for all numbers.

Step1:

LCM(225, 243) = 6075

GCD(225, 243) = ( 225 x 243 ) / 6075

= 225 / 243

= 225


Step2:

LCM(9, 823) = 7407

GCD(9, 823) = ( 9 x 823 ) / 7407

= 9 / 823

= 9


Step3:

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

= 1 / 745

= 1


So, Greatest Common Divisor of 225, 243, 823, 745 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 225, 243, 823, 745

Given numbers are 225, 243, 823, 745
The greatest common divisor of numbers 225, 243, 823, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 243, 823, 745 is 1.

FAQs on GCD of 225, 243, 823, 745 Calculator

1. What is the GCD of 225, 243, 823, 745?

GCD of given numbers 225, 243, 823, 745 is 1


2. How to calculate the greatest common divisor of 225, 243, 823, 745?

We can find the highest common divisor of 225, 243, 823, 745 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 225, 243, 823, 745 i.e 1.


3. How can I use the GCD of 225, 243, 823, 745Calculator?

Out the numbers 225, 243, 823, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.