GCD of 768, 212, 242, 288 Calculator

Given Input numbers are 768, 212, 242, 288

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

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

GCD of numbers is the greatest common divisor

So, the GCD (768, 212, 242, 288) = 2.

Given numbers are 768, 212, 242, 288

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 212 are 2 x 2 x 53

Prime factors of 242 are 2 x 11 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 768, 212, 242, 288 is 2.

Given numbers are 768, 212, 242, 288

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

Apply this formula for all numbers.

Step1:

LCM(768, 212) = 40704

GCD(768, 212) = ( 768 x 212 ) / 40704

= 768 / 212

= 768

Step2:

LCM(4, 242) = 484

GCD(4, 242) = ( 4 x 242 ) / 484

= 4 / 242

= 4

Step3:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

So, Greatest Common Divisor of 768, 212, 242, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 950, 710, 708, 443
• GCD of 534, 699, 652, 681
• GCD of 192, 576, 833, 738
• GCD of 253, 770, 193, 283
• GCD of 817, 470, 352, 327

Given numbers are 768, 212, 242, 288
The greatest common divisor of numbers 768, 212, 242, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 212, 242, 288 is 2.

1. What is the GCD of 768, 212, 242, 288?

GCD of given numbers 768, 212, 242, 288 is 2

2. How to calculate the greatest common divisor of 768, 212, 242, 288?

We can find the highest common divisor of 768, 212, 242, 288 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 768, 212, 242, 288 i.e 2.

3. How can I use the GCD of 768, 212, 242, 288Calculator?

Out the numbers 768, 212, 242, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.