GCD of 448, 341, 396, 309 Calculator

Given Input numbers are 448, 341, 396, 309

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

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 341 :

The positive integer divisors of 341 that completely divides 341 are.

1, 11, 31, 341

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (448, 341, 396, 309) = 1.

Given numbers are 448, 341, 396, 309

The list of prime factors of all numbers are

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 341 are 11 x 31

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

Prime factors of 309 are 3 x 103

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 448, 341, 396, 309

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

Apply this formula for all numbers.

Step1:

LCM(448, 341) = 152768

GCD(448, 341) = ( 448 x 341 ) / 152768

= 448 / 341

= 448

Step2:

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

= 1 / 396

= 1

Step3:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1

So, Greatest Common Divisor of 448, 341, 396, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 683, 804, 785
• GCD of 323, 390, 206, 687
• GCD of 445, 737, 456, 934
• GCD of 357, 266, 164, 483
• GCD of 949, 222, 991, 489

Given numbers are 448, 341, 396, 309
The greatest common divisor of numbers 448, 341, 396, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 341, 396, 309 is 1.

1. What is the GCD of 448, 341, 396, 309?

GCD of given numbers 448, 341, 396, 309 is 1

2. How to calculate the greatest common divisor of 448, 341, 396, 309?

We can find the highest common divisor of 448, 341, 396, 309 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 448, 341, 396, 309 i.e 1.

3. How can I use the GCD of 448, 341, 396, 309Calculator?

Out the numbers 448, 341, 396, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.