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GCD of 464, 114, 576 Calculator

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


Online GCD Calculator is useful to find the GCD of 464, 114, 576 quickly. Get the easiest ways to solve the greatest common divisor of 464, 114, 576 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 464, 114, 576 with Factoring?

Given Input numbers are 464, 114, 576

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576


GCD of numbers is the greatest common divisor

So, the GCD (464, 114, 576) = 2.

Find GCD of 464, 114, 576 using Prime Factorization

Given numbers are 464, 114, 576

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 114 are 2 x 3 x 19

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 21

Therefore, GCD of 464, 114, 576 is 2.

Steps to Calculate GCD of 464, 114, 576 using LCM Formula

Given numbers are 464, 114, 576

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

Apply this formula for all numbers.

Step1:

LCM(464, 114) = 26448

GCD(464, 114) = ( 464 x 114 ) / 26448

= 464 / 114

= 464


Step2:

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

= 2 / 576

= 2


So, Greatest Common Divisor of 464, 114, 576 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 464, 114, 576

Given numbers are 464, 114, 576
The greatest common divisor of numbers 464, 114, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 114, 576 is 2.

FAQs on GCD of 464, 114, 576 Calculator

1. What is the GCD of 464, 114, 576?

GCD of given numbers 464, 114, 576 is 2


2. How to calculate the greatest common divisor of 464, 114, 576?

We can find the highest common divisor of 464, 114, 576 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 464, 114, 576 i.e 2.


3. How can I use the GCD of 464, 114, 576Calculator?

Out the numbers 464, 114, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.