GCD of 144, 466, 14 Calculator

Given Input numbers are 144, 466, 14

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

GCD of numbers is the greatest common divisor

So, the GCD (144, 466, 14) = 2.

Given numbers are 144, 466, 14

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 466 are 2 x 233

Prime factors of 14 are 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 144, 466, 14 is 2.

Given numbers are 144, 466, 14

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

Apply this formula for all numbers.

Step1:

LCM(144, 466) = 33552

GCD(144, 466) = ( 144 x 466 ) / 33552

= 144 / 466

= 144

Step2:

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

= 2 / 14

= 2

So, Greatest Common Divisor of 144, 466, 14 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 866, 17
• GCD of 141, 267, 75
• GCD of 339, 789, 87
• GCD of 402, 754, 94
• GCD of 471, 169, 24

Given numbers are 144, 466, 14
The greatest common divisor of numbers 144, 466, 14 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 466, 14 is 2.

1. What is the GCD of 144, 466, 14?

GCD of given numbers 144, 466, 14 is 2

2. How to calculate the greatest common divisor of 144, 466, 14?

We can find the highest common divisor of 144, 466, 14 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 144, 466, 14 i.e 2.

3. How can I use the GCD of 144, 466, 14Calculator?

Out the numbers 144, 466, 14 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.