GCD of 231, 448, 404, 198 Calculator

Given Input numbers are 231, 448, 404, 198

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

Divisors of 231 :

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

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

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 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (231, 448, 404, 198) = 1.

Given numbers are 231, 448, 404, 198

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

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

Prime factors of 404 are 2 x 2 x 101

Prime factors of 198 are 2 x 3 x 3 x 11

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

Given numbers are 231, 448, 404, 198

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

Apply this formula for all numbers.

Step1:

LCM(231, 448) = 14784

GCD(231, 448) = ( 231 x 448 ) / 14784

= 231 / 448

= 231

Step2:

LCM(7, 404) = 2828

GCD(7, 404) = ( 7 x 404 ) / 2828

= 7 / 404

= 7

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 231, 448, 404, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 541, 648, 440, 325
• GCD of 239, 305, 786, 999
• GCD of 825, 511, 742, 207
• GCD of 882, 439, 240, 291
• GCD of 365, 660, 232, 581

Given numbers are 231, 448, 404, 198
The greatest common divisor of numbers 231, 448, 404, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 448, 404, 198 is 1.

1. What is the GCD of 231, 448, 404, 198?

GCD of given numbers 231, 448, 404, 198 is 1

2. How to calculate the greatest common divisor of 231, 448, 404, 198?

We can find the highest common divisor of 231, 448, 404, 198 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 231, 448, 404, 198 i.e 1.

3. How can I use the GCD of 231, 448, 404, 198Calculator?

Out the numbers 231, 448, 404, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.