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GCD of 225, 270, 723, 119 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, 270, 723, 119 quickly. Get the easiest ways to solve the greatest common divisor of 225, 270, 723, 119 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 225, 270, 723, 119 with Factoring?

Given Input numbers are 225, 270, 723, 119

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 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 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119


GCD of numbers is the greatest common divisor

So, the GCD (225, 270, 723, 119) = 1.

Find GCD of 225, 270, 723, 119 using Prime Factorization

Given numbers are 225, 270, 723, 119

The list of prime factors of all numbers are

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

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

Prime factors of 723 are 3 x 241

Prime factors of 119 are 7 x 17

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

Steps to Calculate GCD of 225, 270, 723, 119 using LCM Formula

Given numbers are 225, 270, 723, 119

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

Apply this formula for all numbers.

Step1:

LCM(225, 270) = 1350

GCD(225, 270) = ( 225 x 270 ) / 1350

= 225 / 270

= 225


Step2:

LCM(45, 723) = 10845

GCD(45, 723) = ( 45 x 723 ) / 10845

= 45 / 723

= 45


Step3:

LCM(3, 119) = 357

GCD(3, 119) = ( 3 x 119 ) / 357

= 3 / 119

= 3


So, Greatest Common Divisor of 225, 270, 723, 119 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 225, 270, 723, 119

Given numbers are 225, 270, 723, 119
The greatest common divisor of numbers 225, 270, 723, 119 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 270, 723, 119 is 1.

FAQs on GCD of 225, 270, 723, 119 Calculator

1. What is the GCD of 225, 270, 723, 119?

GCD of given numbers 225, 270, 723, 119 is 1


2. How to calculate the greatest common divisor of 225, 270, 723, 119?

We can find the highest common divisor of 225, 270, 723, 119 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, 270, 723, 119 i.e 1.


3. How can I use the GCD of 225, 270, 723, 119Calculator?

Out the numbers 225, 270, 723, 119 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.