GCD of 390, 364, 86, 230 Calculator

Given Input numbers are 390, 364, 86, 230

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 86 :

The positive integer divisors of 86 that completely divides 86 are.

1, 2, 43, 86

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 (390, 364, 86, 230) = 2.

Given numbers are 390, 364, 86, 230

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 86 are 2 x 43

Prime factors of 230 are 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 390, 364, 86, 230 is 2.

Given numbers are 390, 364, 86, 230

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

Apply this formula for all numbers.

Step1:

LCM(390, 364) = 5460

GCD(390, 364) = ( 390 x 364 ) / 5460

= 390 / 364

= 390

Step2:

LCM(26, 86) = 1118

GCD(26, 86) = ( 26 x 86 ) / 1118

= 26 / 86

= 26

Step3:

LCM(2, 230) = 230

GCD(2, 230) = ( 2 x 230 ) / 230

= 2 / 230

= 2

So, Greatest Common Divisor of 390, 364, 86, 230 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 428, 20, 328
• GCD of 136, 339, 11, 344
• GCD of 454, 278, 96, 534
• GCD of 734, 582, 14, 149
• GCD of 879, 744, 39, 902

Given numbers are 390, 364, 86, 230
The greatest common divisor of numbers 390, 364, 86, 230 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 364, 86, 230 is 2.

1. What is the GCD of 390, 364, 86, 230?

GCD of given numbers 390, 364, 86, 230 is 2

2. How to calculate the greatest common divisor of 390, 364, 86, 230?

We can find the highest common divisor of 390, 364, 86, 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 390, 364, 86, 230 i.e 2.

3. How can I use the GCD of 390, 364, 86, 230Calculator?

Out the numbers 390, 364, 86, 230 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.