GCD of 328, 614, 132, 318 Calculator

Given Input numbers are 328, 614, 132, 318

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

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 614 :

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

1, 2, 307, 614

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (328, 614, 132, 318) = 2.

Given numbers are 328, 614, 132, 318

The list of prime factors of all numbers are

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 614 are 2 x 307

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 2¹

Therefore, GCD of 328, 614, 132, 318 is 2.

Given numbers are 328, 614, 132, 318

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

Apply this formula for all numbers.

Step1:

LCM(328, 614) = 100696

GCD(328, 614) = ( 328 x 614 ) / 100696

= 328 / 614

= 328

Step2:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2

Step3:

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

= 2 / 318

= 2

So, Greatest Common Divisor of 328, 614, 132, 318 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 864, 784, 659
• GCD of 499, 768, 729, 271
• GCD of 330, 556, 735, 142
• GCD of 483, 327, 125, 641
• GCD of 586, 941, 359, 140

Given numbers are 328, 614, 132, 318
The greatest common divisor of numbers 328, 614, 132, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 614, 132, 318 is 2.

1. What is the GCD of 328, 614, 132, 318?

GCD of given numbers 328, 614, 132, 318 is 2

2. How to calculate the greatest common divisor of 328, 614, 132, 318?

We can find the highest common divisor of 328, 614, 132, 318 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 328, 614, 132, 318 i.e 2.

3. How can I use the GCD of 328, 614, 132, 318Calculator?

Out the numbers 328, 614, 132, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.