GCD of 994, 406, 182, 342 Calculator

Given Input numbers are 994, 406, 182, 342

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

Divisors of 994 :

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

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

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (994, 406, 182, 342) = 2.

Given numbers are 994, 406, 182, 342

The list of prime factors of all numbers are

Prime factors of 994 are 2 x 7 x 71

Prime factors of 406 are 2 x 7 x 29

Prime factors of 182 are 2 x 7 x 13

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 994, 406, 182, 342 is 2.

Given numbers are 994, 406, 182, 342

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

Apply this formula for all numbers.

Step1:

LCM(994, 406) = 28826

GCD(994, 406) = ( 994 x 406 ) / 28826

= 994 / 406

= 994

Step2:

LCM(14, 182) = 182

GCD(14, 182) = ( 14 x 182 ) / 182

= 14 / 182

= 14

Step3:

LCM(14, 342) = 2394

GCD(14, 342) = ( 14 x 342 ) / 2394

= 14 / 342

= 14

So, Greatest Common Divisor of 994, 406, 182, 342 is 2

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Given numbers are 994, 406, 182, 342
The greatest common divisor of numbers 994, 406, 182, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 406, 182, 342 is 2.

1. What is the GCD of 994, 406, 182, 342?

GCD of given numbers 994, 406, 182, 342 is 2

2. How to calculate the greatest common divisor of 994, 406, 182, 342?

We can find the highest common divisor of 994, 406, 182, 342 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 994, 406, 182, 342 i.e 2.

3. How can I use the GCD of 994, 406, 182, 342Calculator?

Out the numbers 994, 406, 182, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.