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GCD of 482, 728, 724, 918 Calculator

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


Online GCD Calculator is useful to find the GCD of 482, 728, 724, 918 quickly. Get the easiest ways to solve the greatest common divisor of 482, 728, 724, 918 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 482, 728, 724, 918 with Factoring?

Given Input numbers are 482, 728, 724, 918

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

Divisors of 482 :

The positive integer divisors of 482 that completely divides 482 are.

1, 2, 241, 482

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918


GCD of numbers is the greatest common divisor

So, the GCD (482, 728, 724, 918) = 2.

Find GCD of 482, 728, 724, 918 using Prime Factorization

Given numbers are 482, 728, 724, 918

The list of prime factors of all numbers are

Prime factors of 482 are 2 x 241

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 724 are 2 x 2 x 181

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 21

Therefore, GCD of 482, 728, 724, 918 is 2.

Steps to Calculate GCD of 482, 728, 724, 918 using LCM Formula

Given numbers are 482, 728, 724, 918

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

Apply this formula for all numbers.

Step1:

LCM(482, 728) = 175448

GCD(482, 728) = ( 482 x 728 ) / 175448

= 482 / 728

= 482


Step2:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2


Step3:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2


So, Greatest Common Divisor of 482, 728, 724, 918 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 482, 728, 724, 918

Given numbers are 482, 728, 724, 918
The greatest common divisor of numbers 482, 728, 724, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 482, 728, 724, 918 is 2.

FAQs on GCD of 482, 728, 724, 918 Calculator

1. What is the GCD of 482, 728, 724, 918?

GCD of given numbers 482, 728, 724, 918 is 2


2. How to calculate the greatest common divisor of 482, 728, 724, 918?

We can find the highest common divisor of 482, 728, 724, 918 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 482, 728, 724, 918 i.e 2.


3. How can I use the GCD of 482, 728, 724, 918Calculator?

Out the numbers 482, 728, 724, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.