GCD of 486, 316, 388, 216 Calculator

Given Input numbers are 486, 316, 388, 216

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

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (486, 316, 388, 216) = 2.

Given numbers are 486, 316, 388, 216

The list of prime factors of all numbers are

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 316 are 2 x 2 x 79

Prime factors of 388 are 2 x 2 x 97

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 486, 316, 388, 216 is 2.

Given numbers are 486, 316, 388, 216

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

Apply this formula for all numbers.

Step1:

LCM(486, 316) = 76788

GCD(486, 316) = ( 486 x 316 ) / 76788

= 486 / 316

= 486

Step2:

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

= 2 / 388

= 2

Step3:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

So, Greatest Common Divisor of 486, 316, 388, 216 is 2

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Given numbers are 486, 316, 388, 216
The greatest common divisor of numbers 486, 316, 388, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 316, 388, 216 is 2.

1. What is the GCD of 486, 316, 388, 216?

GCD of given numbers 486, 316, 388, 216 is 2

2. How to calculate the greatest common divisor of 486, 316, 388, 216?

We can find the highest common divisor of 486, 316, 388, 216 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 486, 316, 388, 216 i.e 2.

3. How can I use the GCD of 486, 316, 388, 216Calculator?

Out the numbers 486, 316, 388, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.