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GCD of 988, 884, 200, 446 Calculator

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


Online GCD Calculator is useful to find the GCD of 988, 884, 200, 446 quickly. Get the easiest ways to solve the greatest common divisor of 988, 884, 200, 446 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 988, 884, 200, 446 with Factoring?

Given Input numbers are 988, 884, 200, 446

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

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446


GCD of numbers is the greatest common divisor

So, the GCD (988, 884, 200, 446) = 2.

Find GCD of 988, 884, 200, 446 using Prime Factorization

Given numbers are 988, 884, 200, 446

The list of prime factors of all numbers are

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 884 are 2 x 2 x 13 x 17

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 446 are 2 x 223

The highest common occurrence is 21

Therefore, GCD of 988, 884, 200, 446 is 2.

Steps to Calculate GCD of 988, 884, 200, 446 using LCM Formula

Given numbers are 988, 884, 200, 446

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

Apply this formula for all numbers.

Step1:

LCM(988, 884) = 16796

GCD(988, 884) = ( 988 x 884 ) / 16796

= 988 / 884

= 988


Step2:

LCM(52, 200) = 2600

GCD(52, 200) = ( 52 x 200 ) / 2600

= 52 / 200

= 52


Step3:

LCM(4, 446) = 892

GCD(4, 446) = ( 4 x 446 ) / 892

= 4 / 446

= 4


So, Greatest Common Divisor of 988, 884, 200, 446 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 988, 884, 200, 446

Given numbers are 988, 884, 200, 446
The greatest common divisor of numbers 988, 884, 200, 446 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 884, 200, 446 is 2.

FAQs on GCD of 988, 884, 200, 446 Calculator

1. What is the GCD of 988, 884, 200, 446?

GCD of given numbers 988, 884, 200, 446 is 2


2. How to calculate the greatest common divisor of 988, 884, 200, 446?

We can find the highest common divisor of 988, 884, 200, 446 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 988, 884, 200, 446 i.e 2.


3. How can I use the GCD of 988, 884, 200, 446Calculator?

Out the numbers 988, 884, 200, 446 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.