GCD of 994, 836, 814, 204 Calculator

Given Input numbers are 994, 836, 814, 204

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 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (994, 836, 814, 204) = 2.

Given numbers are 994, 836, 814, 204

The list of prime factors of all numbers are

Prime factors of 994 are 2 x 7 x 71

Prime factors of 836 are 2 x 2 x 11 x 19

Prime factors of 814 are 2 x 11 x 37

Prime factors of 204 are 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 994, 836, 814, 204 is 2.

Given numbers are 994, 836, 814, 204

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

Apply this formula for all numbers.

Step1:

LCM(994, 836) = 415492

GCD(994, 836) = ( 994 x 836 ) / 415492

= 994 / 836

= 994

Step2:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

Step3:

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

= 2 / 204

= 2

So, Greatest Common Divisor of 994, 836, 814, 204 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 999, 345, 687
• GCD of 615, 179, 100, 288
• GCD of 598, 573, 312, 762
• GCD of 874, 309, 230, 233
• GCD of 834, 491, 206, 425

Given numbers are 994, 836, 814, 204
The greatest common divisor of numbers 994, 836, 814, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 836, 814, 204 is 2.

1. What is the GCD of 994, 836, 814, 204?

GCD of given numbers 994, 836, 814, 204 is 2

2. How to calculate the greatest common divisor of 994, 836, 814, 204?

We can find the highest common divisor of 994, 836, 814, 204 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, 836, 814, 204 i.e 2.

3. How can I use the GCD of 994, 836, 814, 204Calculator?

Out the numbers 994, 836, 814, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.