GCD of 488, 214, 218, 406 Calculator

Given Input numbers are 488, 214, 218, 406

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

GCD of numbers is the greatest common divisor

So, the GCD (488, 214, 218, 406) = 2.

Given numbers are 488, 214, 218, 406

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 214 are 2 x 107

Prime factors of 218 are 2 x 109

Prime factors of 406 are 2 x 7 x 29

The highest common occurrence is 2¹

Therefore, GCD of 488, 214, 218, 406 is 2.

Given numbers are 488, 214, 218, 406

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

Apply this formula for all numbers.

Step1:

LCM(488, 214) = 52216

GCD(488, 214) = ( 488 x 214 ) / 52216

= 488 / 214

= 488

Step2:

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

= 2 / 218

= 2

Step3:

LCM(2, 406) = 406

GCD(2, 406) = ( 2 x 406 ) / 406

= 2 / 406

= 2

So, Greatest Common Divisor of 488, 214, 218, 406 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 756, 167, 860
• GCD of 350, 515, 309, 585
• GCD of 355, 610, 373, 617
• GCD of 820, 771, 198, 258
• GCD of 826, 890, 555, 944

Given numbers are 488, 214, 218, 406
The greatest common divisor of numbers 488, 214, 218, 406 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 214, 218, 406 is 2.

1. What is the GCD of 488, 214, 218, 406?

GCD of given numbers 488, 214, 218, 406 is 2

2. How to calculate the greatest common divisor of 488, 214, 218, 406?

We can find the highest common divisor of 488, 214, 218, 406 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 488, 214, 218, 406 i.e 2.

3. How can I use the GCD of 488, 214, 218, 406Calculator?

Out the numbers 488, 214, 218, 406 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.