GCD of 462, 166, 768, 268 Calculator

Given Input numbers are 462, 166, 768, 268

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 166 :

The positive integer divisors of 166 that completely divides 166 are.

1, 2, 83, 166

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (462, 166, 768, 268) = 2.

Given numbers are 462, 166, 768, 268

The list of prime factors of all numbers are

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

Prime factors of 166 are 2 x 83

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 268 are 2 x 2 x 67

The highest common occurrence is 2¹

Therefore, GCD of 462, 166, 768, 268 is 2.

Given numbers are 462, 166, 768, 268

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

Apply this formula for all numbers.

Step1:

LCM(462, 166) = 38346

GCD(462, 166) = ( 462 x 166 ) / 38346

= 462 / 166

= 462

Step2:

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

= 2 / 768

= 2

Step3:

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

= 2 / 268

= 2

So, Greatest Common Divisor of 462, 166, 768, 268 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 845, 645, 357
• GCD of 969, 284, 845, 177
• GCD of 625, 445, 926, 333
• GCD of 448, 716, 124, 200
• GCD of 819, 667, 350, 517

Given numbers are 462, 166, 768, 268
The greatest common divisor of numbers 462, 166, 768, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 166, 768, 268 is 2.

1. What is the GCD of 462, 166, 768, 268?

GCD of given numbers 462, 166, 768, 268 is 2

2. How to calculate the greatest common divisor of 462, 166, 768, 268?

We can find the highest common divisor of 462, 166, 768, 268 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, 166, 768, 268 i.e 2.

3. How can I use the GCD of 462, 166, 768, 268Calculator?

Out the numbers 462, 166, 768, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.