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GCD of 460, 908, 18, 884 Calculator

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


Online GCD Calculator is useful to find the GCD of 460, 908, 18, 884 quickly. Get the easiest ways to solve the greatest common divisor of 460, 908, 18, 884 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 460, 908, 18, 884 with Factoring?

Given Input numbers are 460, 908, 18, 884

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884


GCD of numbers is the greatest common divisor

So, the GCD (460, 908, 18, 884) = 2.

Find GCD of 460, 908, 18, 884 using Prime Factorization

Given numbers are 460, 908, 18, 884

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 908 are 2 x 2 x 227

Prime factors of 18 are 2 x 3 x 3

Prime factors of 884 are 2 x 2 x 13 x 17

The highest common occurrence is 21

Therefore, GCD of 460, 908, 18, 884 is 2.

Steps to Calculate GCD of 460, 908, 18, 884 using LCM Formula

Given numbers are 460, 908, 18, 884

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

Apply this formula for all numbers.

Step1:

LCM(460, 908) = 104420

GCD(460, 908) = ( 460 x 908 ) / 104420

= 460 / 908

= 460


Step2:

LCM(4, 18) = 36

GCD(4, 18) = ( 4 x 18 ) / 36

= 4 / 18

= 4


Step3:

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

= 2 / 884

= 2


So, Greatest Common Divisor of 460, 908, 18, 884 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 460, 908, 18, 884

Given numbers are 460, 908, 18, 884
The greatest common divisor of numbers 460, 908, 18, 884 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 908, 18, 884 is 2.

FAQs on GCD of 460, 908, 18, 884 Calculator

1. What is the GCD of 460, 908, 18, 884?

GCD of given numbers 460, 908, 18, 884 is 2


2. How to calculate the greatest common divisor of 460, 908, 18, 884?

We can find the highest common divisor of 460, 908, 18, 884 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 460, 908, 18, 884 i.e 2.


3. How can I use the GCD of 460, 908, 18, 884Calculator?

Out the numbers 460, 908, 18, 884 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.