GCD of 464, 468, 306, 166 Calculator

Given Input numbers are 464, 468, 306, 166

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 166 :

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

1, 2, 83, 166

GCD of numbers is the greatest common divisor

So, the GCD (464, 468, 306, 166) = 2.

Given numbers are 464, 468, 306, 166

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 166 are 2 x 83

The highest common occurrence is 2¹

Therefore, GCD of 464, 468, 306, 166 is 2.

Given numbers are 464, 468, 306, 166

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

Apply this formula for all numbers.

Step1:

LCM(464, 468) = 54288

GCD(464, 468) = ( 464 x 468 ) / 54288

= 464 / 468

= 464

Step2:

LCM(4, 306) = 612

GCD(4, 306) = ( 4 x 306 ) / 612

= 4 / 306

= 4

Step3:

LCM(2, 166) = 166

GCD(2, 166) = ( 2 x 166 ) / 166

= 2 / 166

= 2

So, Greatest Common Divisor of 464, 468, 306, 166 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 993, 961, 799
• GCD of 434, 425, 621, 200
• GCD of 805, 559, 422, 884
• GCD of 410, 784, 489, 461
• GCD of 715, 957, 243, 286

Given numbers are 464, 468, 306, 166
The greatest common divisor of numbers 464, 468, 306, 166 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 468, 306, 166 is 2.

1. What is the GCD of 464, 468, 306, 166?

GCD of given numbers 464, 468, 306, 166 is 2

2. How to calculate the greatest common divisor of 464, 468, 306, 166?

We can find the highest common divisor of 464, 468, 306, 166 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 464, 468, 306, 166 i.e 2.

3. How can I use the GCD of 464, 468, 306, 166Calculator?

Out the numbers 464, 468, 306, 166 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.