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GCD of 990, 898, 994, 352 Calculator

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


Online GCD Calculator is useful to find the GCD of 990, 898, 994, 352 quickly. Get the easiest ways to solve the greatest common divisor of 990, 898, 994, 352 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 990, 898, 994, 352 with Factoring?

Given Input numbers are 990, 898, 994, 352

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352


GCD of numbers is the greatest common divisor

So, the GCD (990, 898, 994, 352) = 2.

Find GCD of 990, 898, 994, 352 using Prime Factorization

Given numbers are 990, 898, 994, 352

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 898 are 2 x 449

Prime factors of 994 are 2 x 7 x 71

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 21

Therefore, GCD of 990, 898, 994, 352 is 2.

Steps to Calculate GCD of 990, 898, 994, 352 using LCM Formula

Given numbers are 990, 898, 994, 352

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

Apply this formula for all numbers.

Step1:

LCM(990, 898) = 444510

GCD(990, 898) = ( 990 x 898 ) / 444510

= 990 / 898

= 990


Step2:

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

= 2 / 994

= 2


Step3:

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

= 2 / 352

= 2


So, Greatest Common Divisor of 990, 898, 994, 352 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 990, 898, 994, 352

Given numbers are 990, 898, 994, 352
The greatest common divisor of numbers 990, 898, 994, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 898, 994, 352 is 2.

FAQs on GCD of 990, 898, 994, 352 Calculator

1. What is the GCD of 990, 898, 994, 352?

GCD of given numbers 990, 898, 994, 352 is 2


2. How to calculate the greatest common divisor of 990, 898, 994, 352?

We can find the highest common divisor of 990, 898, 994, 352 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 990, 898, 994, 352 i.e 2.


3. How can I use the GCD of 990, 898, 994, 352Calculator?

Out the numbers 990, 898, 994, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.