GCD of 168, 312, 231, 230 Calculator

Given Input numbers are 168, 312, 231, 230

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 231 :

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

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

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

GCD of numbers is the greatest common divisor

So, the GCD (168, 312, 231, 230) = 1.

Given numbers are 168, 312, 231, 230

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 231 are 3 x 7 x 11

Prime factors of 230 are 2 x 5 x 23

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

Given numbers are 168, 312, 231, 230

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

Apply this formula for all numbers.

Step1:

LCM(168, 312) = 2184

GCD(168, 312) = ( 168 x 312 ) / 2184

= 168 / 312

= 168

Step2:

LCM(24, 231) = 1848

GCD(24, 231) = ( 24 x 231 ) / 1848

= 24 / 231

= 24

Step3:

LCM(3, 230) = 690

GCD(3, 230) = ( 3 x 230 ) / 690

= 3 / 230

= 3

So, Greatest Common Divisor of 168, 312, 231, 230 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 102, 499, 476
• GCD of 464, 606, 917, 830
• GCD of 310, 725, 766, 248
• GCD of 736, 995, 949, 936
• GCD of 483, 447, 719, 741

Given numbers are 168, 312, 231, 230
The greatest common divisor of numbers 168, 312, 231, 230 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 312, 231, 230 is 1.

1. What is the GCD of 168, 312, 231, 230?

GCD of given numbers 168, 312, 231, 230 is 1

2. How to calculate the greatest common divisor of 168, 312, 231, 230?

We can find the highest common divisor of 168, 312, 231, 230 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 168, 312, 231, 230 i.e 1.

3. How can I use the GCD of 168, 312, 231, 230Calculator?

Out the numbers 168, 312, 231, 230 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.