GCD of 348, 354, 621, 396 Calculator

Given Input numbers are 348, 354, 621, 396

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

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

Divisors of 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

GCD of numbers is the greatest common divisor

So, the GCD (348, 354, 621, 396) = 3.

Given numbers are 348, 354, 621, 396

The list of prime factors of all numbers are

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

Prime factors of 354 are 2 x 3 x 59

Prime factors of 621 are 3 x 3 x 3 x 23

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 348, 354, 621, 396 is 3.

Given numbers are 348, 354, 621, 396

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

Apply this formula for all numbers.

Step1:

LCM(348, 354) = 20532

GCD(348, 354) = ( 348 x 354 ) / 20532

= 348 / 354

= 348

Step2:

LCM(6, 621) = 1242

GCD(6, 621) = ( 6 x 621 ) / 1242

= 6 / 621

= 6

Step3:

LCM(3, 396) = 396

GCD(3, 396) = ( 3 x 396 ) / 396

= 3 / 396

= 3

So, Greatest Common Divisor of 348, 354, 621, 396 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 789, 307, 327
• GCD of 433, 120, 203, 675
• GCD of 433, 931, 215, 176
• GCD of 515, 674, 947, 108
• GCD of 441, 480, 766, 203

Given numbers are 348, 354, 621, 396
The greatest common divisor of numbers 348, 354, 621, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 354, 621, 396 is 3.

1. What is the GCD of 348, 354, 621, 396?

GCD of given numbers 348, 354, 621, 396 is 3

2. How to calculate the greatest common divisor of 348, 354, 621, 396?

We can find the highest common divisor of 348, 354, 621, 396 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 348, 354, 621, 396 i.e 3.

3. How can I use the GCD of 348, 354, 621, 396Calculator?

Out the numbers 348, 354, 621, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.