GCD of 312, 282, 536, 384 Calculator

Given Input numbers are 312, 282, 536, 384

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 282 :

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

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

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (312, 282, 536, 384) = 2.

Given numbers are 312, 282, 536, 384

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 282 are 2 x 3 x 47

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 312, 282, 536, 384 is 2.

Given numbers are 312, 282, 536, 384

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

Apply this formula for all numbers.

Step1:

LCM(312, 282) = 14664

GCD(312, 282) = ( 312 x 282 ) / 14664

= 312 / 282

= 312

Step2:

LCM(6, 536) = 1608

GCD(6, 536) = ( 6 x 536 ) / 1608

= 6 / 536

= 6

Step3:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

So, Greatest Common Divisor of 312, 282, 536, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 918, 479, 867, 308
• GCD of 606, 533, 779, 464
• GCD of 822, 558, 689, 453
• GCD of 809, 209, 361, 570
• GCD of 392, 434, 218, 509

Given numbers are 312, 282, 536, 384
The greatest common divisor of numbers 312, 282, 536, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 282, 536, 384 is 2.

1. What is the GCD of 312, 282, 536, 384?

GCD of given numbers 312, 282, 536, 384 is 2

2. How to calculate the greatest common divisor of 312, 282, 536, 384?

We can find the highest common divisor of 312, 282, 536, 384 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 312, 282, 536, 384 i.e 2.

3. How can I use the GCD of 312, 282, 536, 384Calculator?

Out the numbers 312, 282, 536, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.