GCD of 276, 288, 282, 234 Calculator

Given Input numbers are 276, 288, 282, 234

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

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

GCD of numbers is the greatest common divisor

So, the GCD (276, 288, 282, 234) = 6.

Given numbers are 276, 288, 282, 234

The list of prime factors of all numbers are

Prime factors of 276 are 2 x 2 x 3 x 23

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

Prime factors of 282 are 2 x 3 x 47

Prime factors of 234 are 2 x 3 x 3 x 13

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 276, 288, 282, 234 is 6.

Given numbers are 276, 288, 282, 234

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

Apply this formula for all numbers.

Step1:

LCM(276, 288) = 6624

GCD(276, 288) = ( 276 x 288 ) / 6624

= 276 / 288

= 276

Step2:

LCM(12, 282) = 564

GCD(12, 282) = ( 12 x 282 ) / 564

= 12 / 282

= 12

Step3:

LCM(6, 234) = 234

GCD(6, 234) = ( 6 x 234 ) / 234

= 6 / 234

= 6

So, Greatest Common Divisor of 276, 288, 282, 234 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 957, 367, 338
• GCD of 223, 158, 675, 194
• GCD of 983, 110, 413, 790
• GCD of 886, 472, 860, 893
• GCD of 270, 689, 245, 504

Given numbers are 276, 288, 282, 234
The greatest common divisor of numbers 276, 288, 282, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 288, 282, 234 is 6.

1. What is the GCD of 276, 288, 282, 234?

GCD of given numbers 276, 288, 282, 234 is 6

2. How to calculate the greatest common divisor of 276, 288, 282, 234?

We can find the highest common divisor of 276, 288, 282, 234 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 276, 288, 282, 234 i.e 6.

3. How can I use the GCD of 276, 288, 282, 234Calculator?

Out the numbers 276, 288, 282, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.