GCD of 168, 222, 468, 214 Calculator

Given Input numbers are 168, 222, 468, 214

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 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (168, 222, 468, 214) = 2.

Given numbers are 168, 222, 468, 214

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 222 are 2 x 3 x 37

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

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 168, 222, 468, 214 is 2.

Given numbers are 168, 222, 468, 214

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

Apply this formula for all numbers.

Step1:

LCM(168, 222) = 6216

GCD(168, 222) = ( 168 x 222 ) / 6216

= 168 / 222

= 168

Step2:

LCM(6, 468) = 468

GCD(6, 468) = ( 6 x 468 ) / 468

= 6 / 468

= 6

Step3:

LCM(6, 214) = 642

GCD(6, 214) = ( 6 x 214 ) / 642

= 6 / 214

= 6

So, Greatest Common Divisor of 168, 222, 468, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 505, 129, 350
• GCD of 757, 172, 714, 225
• GCD of 909, 225, 385, 285
• GCD of 172, 138, 374, 617
• GCD of 551, 495, 164, 799

Given numbers are 168, 222, 468, 214
The greatest common divisor of numbers 168, 222, 468, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 222, 468, 214 is 2.

1. What is the GCD of 168, 222, 468, 214?

GCD of given numbers 168, 222, 468, 214 is 2

2. How to calculate the greatest common divisor of 168, 222, 468, 214?

We can find the highest common divisor of 168, 222, 468, 214 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, 222, 468, 214 i.e 2.

3. How can I use the GCD of 168, 222, 468, 214Calculator?

Out the numbers 168, 222, 468, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.