GCD of 464, 394, 304, 216 Calculator

Given Input numbers are 464, 394, 304, 216

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 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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 (464, 394, 304, 216) = 2.

Given numbers are 464, 394, 304, 216

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 394 are 2 x 197

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

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 464, 394, 304, 216 is 2.

Given numbers are 464, 394, 304, 216

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

Apply this formula for all numbers.

Step1:

LCM(464, 394) = 91408

GCD(464, 394) = ( 464 x 394 ) / 91408

= 464 / 394

= 464

Step2:

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

= 2 / 304

= 2

Step3:

LCM(2, 216) = 216

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

= 2 / 216

= 2

So, Greatest Common Divisor of 464, 394, 304, 216 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 978, 647, 884
• GCD of 456, 605, 949, 244
• GCD of 982, 485, 310, 116
• GCD of 724, 329, 854, 627
• GCD of 871, 995, 388, 720

Given numbers are 464, 394, 304, 216
The greatest common divisor of numbers 464, 394, 304, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 394, 304, 216 is 2.

1. What is the GCD of 464, 394, 304, 216?

GCD of given numbers 464, 394, 304, 216 is 2

2. How to calculate the greatest common divisor of 464, 394, 304, 216?

We can find the highest common divisor of 464, 394, 304, 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 464, 394, 304, 216 i.e 2.

3. How can I use the GCD of 464, 394, 304, 216Calculator?

Out the numbers 464, 394, 304, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.