GCD of 338, 446, 231, 343 Calculator

Given Input numbers are 338, 446, 231, 343

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (338, 446, 231, 343) = 1.

Given numbers are 338, 446, 231, 343

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 446 are 2 x 223

Prime factors of 231 are 3 x 7 x 11

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 338, 446, 231, 343

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

Apply this formula for all numbers.

Step1:

LCM(338, 446) = 75374

GCD(338, 446) = ( 338 x 446 ) / 75374

= 338 / 446

= 338

Step2:

LCM(2, 231) = 462

GCD(2, 231) = ( 2 x 231 ) / 462

= 2 / 231

= 2

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 338, 446, 231, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 540, 374, 463
• GCD of 104, 101, 616, 715
• GCD of 248, 992, 162, 864
• GCD of 441, 791, 139, 576
• GCD of 613, 734, 997, 541

Given numbers are 338, 446, 231, 343
The greatest common divisor of numbers 338, 446, 231, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 446, 231, 343 is 1.

1. What is the GCD of 338, 446, 231, 343?

GCD of given numbers 338, 446, 231, 343 is 1

2. How to calculate the greatest common divisor of 338, 446, 231, 343?

We can find the highest common divisor of 338, 446, 231, 343 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 338, 446, 231, 343 i.e 1.

3. How can I use the GCD of 338, 446, 231, 343Calculator?

Out the numbers 338, 446, 231, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.