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GCD of 225, 882, 144, 224 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, 882, 144, 224 quickly. Get the easiest ways to solve the greatest common divisor of 225, 882, 144, 224 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 225, 882, 144, 224 with Factoring?

Given Input numbers are 225, 882, 144, 224

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 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224


GCD of numbers is the greatest common divisor

So, the GCD (225, 882, 144, 224) = 1.

Find GCD of 225, 882, 144, 224 using Prime Factorization

Given numbers are 225, 882, 144, 224

The list of prime factors of all numbers are

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

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Steps to Calculate GCD of 225, 882, 144, 224 using LCM Formula

Given numbers are 225, 882, 144, 224

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

Apply this formula for all numbers.

Step1:

LCM(225, 882) = 22050

GCD(225, 882) = ( 225 x 882 ) / 22050

= 225 / 882

= 225


Step2:

LCM(9, 144) = 144

GCD(9, 144) = ( 9 x 144 ) / 144

= 9 / 144

= 9


Step3:

LCM(9, 224) = 2016

GCD(9, 224) = ( 9 x 224 ) / 2016

= 9 / 224

= 9


So, Greatest Common Divisor of 225, 882, 144, 224 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 225, 882, 144, 224

Given numbers are 225, 882, 144, 224
The greatest common divisor of numbers 225, 882, 144, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 882, 144, 224 is 1.

FAQs on GCD of 225, 882, 144, 224 Calculator

1. What is the GCD of 225, 882, 144, 224?

GCD of given numbers 225, 882, 144, 224 is 1


2. How to calculate the greatest common divisor of 225, 882, 144, 224?

We can find the highest common divisor of 225, 882, 144, 224 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, 882, 144, 224 i.e 1.


3. How can I use the GCD of 225, 882, 144, 224Calculator?

Out the numbers 225, 882, 144, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.