GCD of 218, 304, 464, 308 Calculator

Given Input numbers are 218, 304, 464, 308

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

Divisors of 218 :

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

1, 2, 109, 218

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (218, 304, 464, 308) = 2.

Given numbers are 218, 304, 464, 308

The list of prime factors of all numbers are

Prime factors of 218 are 2 x 109

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

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 308 are 2 x 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 218, 304, 464, 308 is 2.

Given numbers are 218, 304, 464, 308

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

Apply this formula for all numbers.

Step1:

LCM(218, 304) = 33136

GCD(218, 304) = ( 218 x 304 ) / 33136

= 218 / 304

= 218

Step2:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

Step3:

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

= 2 / 308

= 2

So, Greatest Common Divisor of 218, 304, 464, 308 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 151, 124, 440
• GCD of 535, 810, 831, 494
• GCD of 639, 101, 526, 500
• GCD of 457, 858, 748, 623
• GCD of 267, 282, 959, 413

Given numbers are 218, 304, 464, 308
The greatest common divisor of numbers 218, 304, 464, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 304, 464, 308 is 2.

1. What is the GCD of 218, 304, 464, 308?

GCD of given numbers 218, 304, 464, 308 is 2

2. How to calculate the greatest common divisor of 218, 304, 464, 308?

We can find the highest common divisor of 218, 304, 464, 308 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 218, 304, 464, 308 i.e 2.

3. How can I use the GCD of 218, 304, 464, 308Calculator?

Out the numbers 218, 304, 464, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.