GCD of 296, 684, 394, 164 Calculator

Given Input numbers are 296, 684, 394, 164

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

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 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (296, 684, 394, 164) = 2.

Given numbers are 296, 684, 394, 164

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

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

Prime factors of 394 are 2 x 197

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 296, 684, 394, 164 is 2.

Given numbers are 296, 684, 394, 164

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

Apply this formula for all numbers.

Step1:

LCM(296, 684) = 50616

GCD(296, 684) = ( 296 x 684 ) / 50616

= 296 / 684

= 296

Step2:

LCM(4, 394) = 788

GCD(4, 394) = ( 4 x 394 ) / 788

= 4 / 394

= 4

Step3:

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

= 2 / 164

= 2

So, Greatest Common Divisor of 296, 684, 394, 164 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 867, 278, 482
• GCD of 128, 969, 147, 653
• GCD of 307, 207, 727, 320
• GCD of 587, 944, 816, 612
• GCD of 242, 287, 574, 193

Given numbers are 296, 684, 394, 164
The greatest common divisor of numbers 296, 684, 394, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 684, 394, 164 is 2.

1. What is the GCD of 296, 684, 394, 164?

GCD of given numbers 296, 684, 394, 164 is 2

2. How to calculate the greatest common divisor of 296, 684, 394, 164?

We can find the highest common divisor of 296, 684, 394, 164 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 296, 684, 394, 164 i.e 2.

3. How can I use the GCD of 296, 684, 394, 164Calculator?

Out the numbers 296, 684, 394, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.