GCD of 210, 390, 108, 231 Calculator

Given Input numbers are 210, 390, 108, 231

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

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 (210, 390, 108, 231) = 3.

Given numbers are 210, 390, 108, 231

The list of prime factors of all numbers are

Prime factors of 210 are 2 x 3 x 5 x 7

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

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 231 are 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 210, 390, 108, 231 is 3.

Given numbers are 210, 390, 108, 231

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

Apply this formula for all numbers.

Step1:

LCM(210, 390) = 2730

GCD(210, 390) = ( 210 x 390 ) / 2730

= 210 / 390

= 210

Step2:

LCM(30, 108) = 540

GCD(30, 108) = ( 30 x 108 ) / 540

= 30 / 108

= 30

Step3:

LCM(6, 231) = 462

GCD(6, 231) = ( 6 x 231 ) / 462

= 6 / 231

= 6

So, Greatest Common Divisor of 210, 390, 108, 231 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 260, 223, 825
• GCD of 128, 870, 743, 950
• GCD of 906, 988, 643, 862
• GCD of 915, 817, 694, 996
• GCD of 593, 478, 428, 220

Given numbers are 210, 390, 108, 231
The greatest common divisor of numbers 210, 390, 108, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 390, 108, 231 is 3.

1. What is the GCD of 210, 390, 108, 231?

GCD of given numbers 210, 390, 108, 231 is 3

2. How to calculate the greatest common divisor of 210, 390, 108, 231?

We can find the highest common divisor of 210, 390, 108, 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 210, 390, 108, 231 i.e 3.

3. How can I use the GCD of 210, 390, 108, 231Calculator?

Out the numbers 210, 390, 108, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.