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GCD of 484, 842, 998, 656 Calculator

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


Online GCD Calculator is useful to find the GCD of 484, 842, 998, 656 quickly. Get the easiest ways to solve the greatest common divisor of 484, 842, 998, 656 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 484, 842, 998, 656 with Factoring?

Given Input numbers are 484, 842, 998, 656

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

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656


GCD of numbers is the greatest common divisor

So, the GCD (484, 842, 998, 656) = 2.

Find GCD of 484, 842, 998, 656 using Prime Factorization

Given numbers are 484, 842, 998, 656

The list of prime factors of all numbers are

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 842 are 2 x 421

Prime factors of 998 are 2 x 499

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

The highest common occurrence is 21

Therefore, GCD of 484, 842, 998, 656 is 2.

Steps to Calculate GCD of 484, 842, 998, 656 using LCM Formula

Given numbers are 484, 842, 998, 656

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

Apply this formula for all numbers.

Step1:

LCM(484, 842) = 203764

GCD(484, 842) = ( 484 x 842 ) / 203764

= 484 / 842

= 484


Step2:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2


Step3:

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

= 2 / 656

= 2


So, Greatest Common Divisor of 484, 842, 998, 656 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 484, 842, 998, 656

Given numbers are 484, 842, 998, 656
The greatest common divisor of numbers 484, 842, 998, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 842, 998, 656 is 2.

FAQs on GCD of 484, 842, 998, 656 Calculator

1. What is the GCD of 484, 842, 998, 656?

GCD of given numbers 484, 842, 998, 656 is 2


2. How to calculate the greatest common divisor of 484, 842, 998, 656?

We can find the highest common divisor of 484, 842, 998, 656 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 484, 842, 998, 656 i.e 2.


3. How can I use the GCD of 484, 842, 998, 656Calculator?

Out the numbers 484, 842, 998, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.