GCD of 231, 447, 255, 420 Calculator

Given Input numbers are 231, 447, 255, 420

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 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (231, 447, 255, 420) = 3.

Given numbers are 231, 447, 255, 420

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 447 are 3 x 149

Prime factors of 255 are 3 x 5 x 17

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 231, 447, 255, 420 is 3.

Given numbers are 231, 447, 255, 420

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

Apply this formula for all numbers.

Step1:

LCM(231, 447) = 34419

GCD(231, 447) = ( 231 x 447 ) / 34419

= 231 / 447

= 231

Step2:

LCM(3, 255) = 255

GCD(3, 255) = ( 3 x 255 ) / 255

= 3 / 255

= 3

Step3:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

So, Greatest Common Divisor of 231, 447, 255, 420 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 528, 733, 602, 636
• GCD of 111, 401, 349, 181
• GCD of 283, 759, 772, 418
• GCD of 578, 108, 960, 239
• GCD of 711, 892, 531, 596

Given numbers are 231, 447, 255, 420
The greatest common divisor of numbers 231, 447, 255, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 447, 255, 420 is 3.

1. What is the GCD of 231, 447, 255, 420?

GCD of given numbers 231, 447, 255, 420 is 3

2. How to calculate the greatest common divisor of 231, 447, 255, 420?

We can find the highest common divisor of 231, 447, 255, 420 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, 447, 255, 420 i.e 3.

3. How can I use the GCD of 231, 447, 255, 420Calculator?

Out the numbers 231, 447, 255, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.