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GCD of 225, 484, 270, 659 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, 484, 270, 659 quickly. Get the easiest ways to solve the greatest common divisor of 225, 484, 270, 659 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 225, 484, 270, 659 with Factoring?

Given Input numbers are 225, 484, 270, 659

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 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659


GCD of numbers is the greatest common divisor

So, the GCD (225, 484, 270, 659) = 1.

Find GCD of 225, 484, 270, 659 using Prime Factorization

Given numbers are 225, 484, 270, 659

The list of prime factors of all numbers are

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

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 659 are 659

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

Steps to Calculate GCD of 225, 484, 270, 659 using LCM Formula

Given numbers are 225, 484, 270, 659

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

Apply this formula for all numbers.

Step1:

LCM(225, 484) = 108900

GCD(225, 484) = ( 225 x 484 ) / 108900

= 225 / 484

= 225


Step2:

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

= 1 / 270

= 1


Step3:

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

= 1 / 659

= 1


So, Greatest Common Divisor of 225, 484, 270, 659 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 225, 484, 270, 659

Given numbers are 225, 484, 270, 659
The greatest common divisor of numbers 225, 484, 270, 659 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 484, 270, 659 is 1.

FAQs on GCD of 225, 484, 270, 659 Calculator

1. What is the GCD of 225, 484, 270, 659?

GCD of given numbers 225, 484, 270, 659 is 1


2. How to calculate the greatest common divisor of 225, 484, 270, 659?

We can find the highest common divisor of 225, 484, 270, 659 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, 484, 270, 659 i.e 1.


3. How can I use the GCD of 225, 484, 270, 659Calculator?

Out the numbers 225, 484, 270, 659 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.