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GCD of 184, 684, 126, 994 Calculator

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


Online GCD Calculator is useful to find the GCD of 184, 684, 126, 994 quickly. Get the easiest ways to solve the greatest common divisor of 184, 684, 126, 994 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 184, 684, 126, 994 with Factoring?

Given Input numbers are 184, 684, 126, 994

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

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 994 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (184, 684, 126, 994) = 2.

Find GCD of 184, 684, 126, 994 using Prime Factorization

Given numbers are 184, 684, 126, 994

The list of prime factors of all numbers are

Prime factors of 184 are 2 x 2 x 2 x 23

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 994 are 2 x 7 x 71

The highest common occurrence is 21

Therefore, GCD of 184, 684, 126, 994 is 2.

Steps to Calculate GCD of 184, 684, 126, 994 using LCM Formula

Given numbers are 184, 684, 126, 994

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

Apply this formula for all numbers.

Step1:

LCM(184, 684) = 31464

GCD(184, 684) = ( 184 x 684 ) / 31464

= 184 / 684

= 184


Step2:

LCM(4, 126) = 252

GCD(4, 126) = ( 4 x 126 ) / 252

= 4 / 126

= 4


Step3:

LCM(2, 994) = 994

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

= 2 / 994

= 2


So, Greatest Common Divisor of 184, 684, 126, 994 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 184, 684, 126, 994

Given numbers are 184, 684, 126, 994
The greatest common divisor of numbers 184, 684, 126, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 184, 684, 126, 994 is 2.

FAQs on GCD of 184, 684, 126, 994 Calculator

1. What is the GCD of 184, 684, 126, 994?

GCD of given numbers 184, 684, 126, 994 is 2


2. How to calculate the greatest common divisor of 184, 684, 126, 994?

We can find the highest common divisor of 184, 684, 126, 994 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 184, 684, 126, 994 i.e 2.


3. How can I use the GCD of 184, 684, 126, 994Calculator?

Out the numbers 184, 684, 126, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.