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GCD of 996, 494, 235, 218 Calculator

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


Online GCD Calculator is useful to find the GCD of 996, 494, 235, 218 quickly. Get the easiest ways to solve the greatest common divisor of 996, 494, 235, 218 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 996, 494, 235, 218 with Factoring?

Given Input numbers are 996, 494, 235, 218

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218


GCD of numbers is the greatest common divisor

So, the GCD (996, 494, 235, 218) = 1.

Find GCD of 996, 494, 235, 218 using Prime Factorization

Given numbers are 996, 494, 235, 218

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 494 are 2 x 13 x 19

Prime factors of 235 are 5 x 47

Prime factors of 218 are 2 x 109

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

Steps to Calculate GCD of 996, 494, 235, 218 using LCM Formula

Given numbers are 996, 494, 235, 218

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

Apply this formula for all numbers.

Step1:

LCM(996, 494) = 246012

GCD(996, 494) = ( 996 x 494 ) / 246012

= 996 / 494

= 996


Step2:

LCM(2, 235) = 470

GCD(2, 235) = ( 2 x 235 ) / 470

= 2 / 235

= 2


Step3:

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

= 1 / 218

= 1


So, Greatest Common Divisor of 996, 494, 235, 218 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 996, 494, 235, 218

Given numbers are 996, 494, 235, 218
The greatest common divisor of numbers 996, 494, 235, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 494, 235, 218 is 1.

FAQs on GCD of 996, 494, 235, 218 Calculator

1. What is the GCD of 996, 494, 235, 218?

GCD of given numbers 996, 494, 235, 218 is 1


2. How to calculate the greatest common divisor of 996, 494, 235, 218?

We can find the highest common divisor of 996, 494, 235, 218 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 996, 494, 235, 218 i.e 1.


3. How can I use the GCD of 996, 494, 235, 218Calculator?

Out the numbers 996, 494, 235, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.