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GCD of 492, 896, 489, 394 Calculator

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


Online GCD Calculator is useful to find the GCD of 492, 896, 489, 394 quickly. Get the easiest ways to solve the greatest common divisor of 492, 896, 489, 394 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 492, 896, 489, 394 with Factoring?

Given Input numbers are 492, 896, 489, 394

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394


GCD of numbers is the greatest common divisor

So, the GCD (492, 896, 489, 394) = 1.

Find GCD of 492, 896, 489, 394 using Prime Factorization

Given numbers are 492, 896, 489, 394

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 489 are 3 x 163

Prime factors of 394 are 2 x 197

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

Steps to Calculate GCD of 492, 896, 489, 394 using LCM Formula

Given numbers are 492, 896, 489, 394

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

Apply this formula for all numbers.

Step1:

LCM(492, 896) = 110208

GCD(492, 896) = ( 492 x 896 ) / 110208

= 492 / 896

= 492


Step2:

LCM(4, 489) = 1956

GCD(4, 489) = ( 4 x 489 ) / 1956

= 4 / 489

= 4


Step3:

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

= 1 / 394

= 1


So, Greatest Common Divisor of 492, 896, 489, 394 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 492, 896, 489, 394

Given numbers are 492, 896, 489, 394
The greatest common divisor of numbers 492, 896, 489, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 896, 489, 394 is 1.

FAQs on GCD of 492, 896, 489, 394 Calculator

1. What is the GCD of 492, 896, 489, 394?

GCD of given numbers 492, 896, 489, 394 is 1


2. How to calculate the greatest common divisor of 492, 896, 489, 394?

We can find the highest common divisor of 492, 896, 489, 394 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 492, 896, 489, 394 i.e 1.


3. How can I use the GCD of 492, 896, 489, 394Calculator?

Out the numbers 492, 896, 489, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.