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GCD of 393, 270, 453, 381 Calculator

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


Online GCD Calculator is useful to find the GCD of 393, 270, 453, 381 quickly. Get the easiest ways to solve the greatest common divisor of 393, 270, 453, 381 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 393, 270, 453, 381 with Factoring?

Given Input numbers are 393, 270, 453, 381

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

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

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 453 :

The positive integer divisors of 453 that completely divides 453 are.

1, 3, 151, 453

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381


GCD of numbers is the greatest common divisor

So, the GCD (393, 270, 453, 381) = 3.

Find GCD of 393, 270, 453, 381 using Prime Factorization

Given numbers are 393, 270, 453, 381

The list of prime factors of all numbers are

Prime factors of 393 are 3 x 131

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

Prime factors of 453 are 3 x 151

Prime factors of 381 are 3 x 127

The highest common occurrence is 31

Therefore, GCD of 393, 270, 453, 381 is 3.

Steps to Calculate GCD of 393, 270, 453, 381 using LCM Formula

Given numbers are 393, 270, 453, 381

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

Apply this formula for all numbers.

Step1:

LCM(393, 270) = 35370

GCD(393, 270) = ( 393 x 270 ) / 35370

= 393 / 270

= 393


Step2:

LCM(3, 453) = 453

GCD(3, 453) = ( 3 x 453 ) / 453

= 3 / 453

= 3


Step3:

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

= 3 / 381

= 3


So, Greatest Common Divisor of 393, 270, 453, 381 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 393, 270, 453, 381

Given numbers are 393, 270, 453, 381
The greatest common divisor of numbers 393, 270, 453, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 393, 270, 453, 381 is 3.

FAQs on GCD of 393, 270, 453, 381 Calculator

1. What is the GCD of 393, 270, 453, 381?

GCD of given numbers 393, 270, 453, 381 is 3


2. How to calculate the greatest common divisor of 393, 270, 453, 381?

We can find the highest common divisor of 393, 270, 453, 381 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 393, 270, 453, 381 i.e 3.


3. How can I use the GCD of 393, 270, 453, 381Calculator?

Out the numbers 393, 270, 453, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.