GCD of 705, 431, 228, 231 Calculator

Given Input numbers are 705, 431, 228, 231

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 231 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (705, 431, 228, 231) = 1.

Given numbers are 705, 431, 228, 231

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 431 are 431

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 231 are 3 x 7 x 11

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

Given numbers are 705, 431, 228, 231

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

Apply this formula for all numbers.

Step1:

LCM(705, 431) = 303855

GCD(705, 431) = ( 705 x 431 ) / 303855

= 705 / 431

= 705

Step2:

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

= 1 / 228

= 1

Step3:

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

= 1 / 231

= 1

So, Greatest Common Divisor of 705, 431, 228, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 877, 427, 712
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• GCD of 353, 244, 277, 736
• GCD of 404, 683, 837, 149
• GCD of 571, 944, 186, 485

Given numbers are 705, 431, 228, 231
The greatest common divisor of numbers 705, 431, 228, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 431, 228, 231 is 1.

1. What is the GCD of 705, 431, 228, 231?

GCD of given numbers 705, 431, 228, 231 is 1

2. How to calculate the greatest common divisor of 705, 431, 228, 231?

We can find the highest common divisor of 705, 431, 228, 231 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 705, 431, 228, 231 i.e 1.

3. How can I use the GCD of 705, 431, 228, 231Calculator?

Out the numbers 705, 431, 228, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.