GCD of 168, 286, 16 Calculator

Given Input numbers are 168, 286, 16

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 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16

GCD of numbers is the greatest common divisor

So, the GCD (168, 286, 16) = 2.

Given numbers are 168, 286, 16

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 286 are 2 x 11 x 13

Prime factors of 16 are 2 x 2 x 2 x 2

The highest common occurrence is 2¹

Therefore, GCD of 168, 286, 16 is 2.

Given numbers are 168, 286, 16

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

Apply this formula for all numbers.

Step1:

LCM(168, 286) = 24024

GCD(168, 286) = ( 168 x 286 ) / 24024

= 168 / 286

= 168

Step2:

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

= 2 / 16

= 2

So, Greatest Common Divisor of 168, 286, 16 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 555, 91
• GCD of 711, 104, 76
• GCD of 103, 938, 58
• GCD of 139, 271, 38
• GCD of 506, 910, 36

Given numbers are 168, 286, 16
The greatest common divisor of numbers 168, 286, 16 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 286, 16 is 2.

1. What is the GCD of 168, 286, 16?

GCD of given numbers 168, 286, 16 is 2

2. How to calculate the greatest common divisor of 168, 286, 16?

We can find the highest common divisor of 168, 286, 16 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, 286, 16 i.e 2.

3. How can I use the GCD of 168, 286, 16Calculator?

Out the numbers 168, 286, 16 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.