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GCD of 459, 272, 400 Calculator

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


Online GCD Calculator is useful to find the GCD of 459, 272, 400 quickly. Get the easiest ways to solve the greatest common divisor of 459, 272, 400 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 459, 272, 400 with Factoring?

Given Input numbers are 459, 272, 400

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

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400


GCD of numbers is the greatest common divisor

So, the GCD (459, 272, 400) = 1.

Find GCD of 459, 272, 400 using Prime Factorization

Given numbers are 459, 272, 400

The list of prime factors of all numbers are

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Steps to Calculate GCD of 459, 272, 400 using LCM Formula

Given numbers are 459, 272, 400

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

Apply this formula for all numbers.

Step1:

LCM(459, 272) = 7344

GCD(459, 272) = ( 459 x 272 ) / 7344

= 459 / 272

= 459


Step2:

LCM(17, 400) = 6800

GCD(17, 400) = ( 17 x 400 ) / 6800

= 17 / 400

= 17


So, Greatest Common Divisor of 459, 272, 400 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 459, 272, 400

Given numbers are 459, 272, 400
The greatest common divisor of numbers 459, 272, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 459, 272, 400 is 1.

FAQs on GCD of 459, 272, 400 Calculator

1. What is the GCD of 459, 272, 400?

GCD of given numbers 459, 272, 400 is 1


2. How to calculate the greatest common divisor of 459, 272, 400?

We can find the highest common divisor of 459, 272, 400 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 459, 272, 400 i.e 1.


3. How can I use the GCD of 459, 272, 400Calculator?

Out the numbers 459, 272, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.