GCD of 994, 210, 684, 348 Calculator

Given Input numbers are 994, 210, 684, 348

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 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (994, 210, 684, 348) = 2.

Given numbers are 994, 210, 684, 348

The list of prime factors of all numbers are

Prime factors of 994 are 2 x 7 x 71

Prime factors of 210 are 2 x 3 x 5 x 7

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

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 994, 210, 684, 348 is 2.

Given numbers are 994, 210, 684, 348

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

Apply this formula for all numbers.

Step1:

LCM(994, 210) = 14910

GCD(994, 210) = ( 994 x 210 ) / 14910

= 994 / 210

= 994

Step2:

LCM(14, 684) = 4788

GCD(14, 684) = ( 14 x 684 ) / 4788

= 14 / 684

= 14

Step3:

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

= 2 / 348

= 2

So, Greatest Common Divisor of 994, 210, 684, 348 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 470, 826, 689, 305
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Given numbers are 994, 210, 684, 348
The greatest common divisor of numbers 994, 210, 684, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 210, 684, 348 is 2.

1. What is the GCD of 994, 210, 684, 348?

GCD of given numbers 994, 210, 684, 348 is 2

2. How to calculate the greatest common divisor of 994, 210, 684, 348?

We can find the highest common divisor of 994, 210, 684, 348 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, 210, 684, 348 i.e 2.

3. How can I use the GCD of 994, 210, 684, 348Calculator?

Out the numbers 994, 210, 684, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.