GCD of 210, 310, 684, 486 Calculator

Given Input numbers are 210, 310, 684, 486

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 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

GCD of numbers is the greatest common divisor

So, the GCD (210, 310, 684, 486) = 2.

Given numbers are 210, 310, 684, 486

The list of prime factors of all numbers are

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

Prime factors of 310 are 2 x 5 x 31

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 210, 310, 684, 486 is 2.

Given numbers are 210, 310, 684, 486

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

Apply this formula for all numbers.

Step1:

LCM(210, 310) = 6510

GCD(210, 310) = ( 210 x 310 ) / 6510

= 210 / 310

= 210

Step2:

LCM(10, 684) = 3420

GCD(10, 684) = ( 10 x 684 ) / 3420

= 10 / 684

= 10

Step3:

LCM(2, 486) = 486

GCD(2, 486) = ( 2 x 486 ) / 486

= 2 / 486

= 2

So, Greatest Common Divisor of 210, 310, 684, 486 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 938, 924, 189
• GCD of 309, 546, 669, 212
• GCD of 599, 579, 160, 354
• GCD of 774, 962, 509, 730
• GCD of 982, 670, 545, 218

Given numbers are 210, 310, 684, 486
The greatest common divisor of numbers 210, 310, 684, 486 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 310, 684, 486 is 2.

1. What is the GCD of 210, 310, 684, 486?

GCD of given numbers 210, 310, 684, 486 is 2

2. How to calculate the greatest common divisor of 210, 310, 684, 486?

We can find the highest common divisor of 210, 310, 684, 486 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, 310, 684, 486 i.e 2.

3. How can I use the GCD of 210, 310, 684, 486Calculator?

Out the numbers 210, 310, 684, 486 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.