GCD of 462, 684, 986, 162 Calculator

Given Input numbers are 462, 684, 986, 162

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

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 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (462, 684, 986, 162) = 2.

Given numbers are 462, 684, 986, 162

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

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

Prime factors of 986 are 2 x 17 x 29

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 462, 684, 986, 162 is 2.

Given numbers are 462, 684, 986, 162

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

Apply this formula for all numbers.

Step1:

LCM(462, 684) = 52668

GCD(462, 684) = ( 462 x 684 ) / 52668

= 462 / 684

= 462

Step2:

LCM(6, 986) = 2958

GCD(6, 986) = ( 6 x 986 ) / 2958

= 6 / 986

= 6

Step3:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

So, Greatest Common Divisor of 462, 684, 986, 162 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 609, 778, 175, 414
• GCD of 182, 959, 412, 905
• GCD of 404, 893, 489, 852
• GCD of 468, 817, 386, 817
• GCD of 595, 982, 961, 646

Given numbers are 462, 684, 986, 162
The greatest common divisor of numbers 462, 684, 986, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 684, 986, 162 is 2.

1. What is the GCD of 462, 684, 986, 162?

GCD of given numbers 462, 684, 986, 162 is 2

2. How to calculate the greatest common divisor of 462, 684, 986, 162?

We can find the highest common divisor of 462, 684, 986, 162 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 462, 684, 986, 162 i.e 2.

3. How can I use the GCD of 462, 684, 986, 162Calculator?

Out the numbers 462, 684, 986, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.