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GCD of 225, 360, 353, 183 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, 360, 353, 183 quickly. Get the easiest ways to solve the greatest common divisor of 225, 360, 353, 183 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 225, 360, 353, 183 with Factoring?

Given Input numbers are 225, 360, 353, 183

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 183 :

The positive integer divisors of 183 that completely divides 183 are.

1, 3, 61, 183


GCD of numbers is the greatest common divisor

So, the GCD (225, 360, 353, 183) = 1.

Find GCD of 225, 360, 353, 183 using Prime Factorization

Given numbers are 225, 360, 353, 183

The list of prime factors of all numbers are

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 353 are 353

Prime factors of 183 are 3 x 61

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

Steps to Calculate GCD of 225, 360, 353, 183 using LCM Formula

Given numbers are 225, 360, 353, 183

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

Apply this formula for all numbers.

Step1:

LCM(225, 360) = 1800

GCD(225, 360) = ( 225 x 360 ) / 1800

= 225 / 360

= 225


Step2:

LCM(45, 353) = 15885

GCD(45, 353) = ( 45 x 353 ) / 15885

= 45 / 353

= 45


Step3:

LCM(1, 183) = 183

GCD(1, 183) = ( 1 x 183 ) / 183

= 1 / 183

= 1


So, Greatest Common Divisor of 225, 360, 353, 183 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 225, 360, 353, 183

Given numbers are 225, 360, 353, 183
The greatest common divisor of numbers 225, 360, 353, 183 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 360, 353, 183 is 1.

FAQs on GCD of 225, 360, 353, 183 Calculator

1. What is the GCD of 225, 360, 353, 183?

GCD of given numbers 225, 360, 353, 183 is 1


2. How to calculate the greatest common divisor of 225, 360, 353, 183?

We can find the highest common divisor of 225, 360, 353, 183 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, 360, 353, 183 i.e 1.


3. How can I use the GCD of 225, 360, 353, 183Calculator?

Out the numbers 225, 360, 353, 183 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.