GCD of 288, 808, 218, 948 Calculator

Given Input numbers are 288, 808, 218, 948

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 218 :

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

1, 2, 109, 218

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

GCD of numbers is the greatest common divisor

So, the GCD (288, 808, 218, 948) = 2.

Given numbers are 288, 808, 218, 948

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 808 are 2 x 2 x 2 x 101

Prime factors of 218 are 2 x 109

Prime factors of 948 are 2 x 2 x 3 x 79

The highest common occurrence is 2¹

Therefore, GCD of 288, 808, 218, 948 is 2.

Given numbers are 288, 808, 218, 948

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

Apply this formula for all numbers.

Step1:

LCM(288, 808) = 29088

GCD(288, 808) = ( 288 x 808 ) / 29088

= 288 / 808

= 288

Step2:

LCM(8, 218) = 872

GCD(8, 218) = ( 8 x 218 ) / 872

= 8 / 218

= 8

Step3:

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

= 2 / 948

= 2

So, Greatest Common Divisor of 288, 808, 218, 948 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 297, 430, 429
• GCD of 451, 561, 325, 346
• GCD of 557, 251, 496, 356
• GCD of 442, 797, 816, 220
• GCD of 239, 804, 571, 643

Given numbers are 288, 808, 218, 948
The greatest common divisor of numbers 288, 808, 218, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 808, 218, 948 is 2.

1. What is the GCD of 288, 808, 218, 948?

GCD of given numbers 288, 808, 218, 948 is 2

2. How to calculate the greatest common divisor of 288, 808, 218, 948?

We can find the highest common divisor of 288, 808, 218, 948 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 288, 808, 218, 948 i.e 2.

3. How can I use the GCD of 288, 808, 218, 948Calculator?

Out the numbers 288, 808, 218, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.