GCD of 328, 312, 348, 354 Calculator

Given Input numbers are 328, 312, 348, 354

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (328, 312, 348, 354) = 2.

Given numbers are 328, 312, 348, 354

The list of prime factors of all numbers are

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

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 328, 312, 348, 354 is 2.

Given numbers are 328, 312, 348, 354

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

Apply this formula for all numbers.

Step1:

LCM(328, 312) = 12792

GCD(328, 312) = ( 328 x 312 ) / 12792

= 328 / 312

= 328

Step2:

LCM(8, 348) = 696

GCD(8, 348) = ( 8 x 348 ) / 696

= 8 / 348

= 8

Step3:

LCM(4, 354) = 708

GCD(4, 354) = ( 4 x 354 ) / 708

= 4 / 354

= 4

So, Greatest Common Divisor of 328, 312, 348, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 922, 995, 251
• GCD of 701, 173, 272, 480
• GCD of 566, 970, 229, 766
• GCD of 873, 575, 151, 293
• GCD of 346, 628, 923, 933

Given numbers are 328, 312, 348, 354
The greatest common divisor of numbers 328, 312, 348, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 312, 348, 354 is 2.

1. What is the GCD of 328, 312, 348, 354?

GCD of given numbers 328, 312, 348, 354 is 2

2. How to calculate the greatest common divisor of 328, 312, 348, 354?

We can find the highest common divisor of 328, 312, 348, 354 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, 312, 348, 354 i.e 2.

3. How can I use the GCD of 328, 312, 348, 354Calculator?

Out the numbers 328, 312, 348, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.