GCD of 336, 364, 614, 392 Calculator

Given Input numbers are 336, 364, 614, 392

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

GCD of numbers is the greatest common divisor

So, the GCD (336, 364, 614, 392) = 2.

Given numbers are 336, 364, 614, 392

The list of prime factors of all numbers are

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 614 are 2 x 307

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 336, 364, 614, 392 is 2.

Given numbers are 336, 364, 614, 392

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

Apply this formula for all numbers.

Step1:

LCM(336, 364) = 4368

GCD(336, 364) = ( 336 x 364 ) / 4368

= 336 / 364

= 336

Step2:

LCM(28, 614) = 8596

GCD(28, 614) = ( 28 x 614 ) / 8596

= 28 / 614

= 28

Step3:

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

= 2 / 392

= 2

So, Greatest Common Divisor of 336, 364, 614, 392 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 108, 349, 333
• GCD of 237, 729, 251, 268
• GCD of 977, 698, 604, 813
• GCD of 349, 107, 269, 297
• GCD of 491, 365, 137, 584

Given numbers are 336, 364, 614, 392
The greatest common divisor of numbers 336, 364, 614, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 364, 614, 392 is 2.

1. What is the GCD of 336, 364, 614, 392?

GCD of given numbers 336, 364, 614, 392 is 2

2. How to calculate the greatest common divisor of 336, 364, 614, 392?

We can find the highest common divisor of 336, 364, 614, 392 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 336, 364, 614, 392 i.e 2.

3. How can I use the GCD of 336, 364, 614, 392Calculator?

Out the numbers 336, 364, 614, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.