GCD of 784, 864, 384, 662 Calculator

Given Input numbers are 784, 864, 384, 662

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

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

GCD of numbers is the greatest common divisor

So, the GCD (784, 864, 384, 662) = 2.

Given numbers are 784, 864, 384, 662

The list of prime factors of all numbers are

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime factors of 662 are 2 x 331

The highest common occurrence is 2¹

Therefore, GCD of 784, 864, 384, 662 is 2.

Given numbers are 784, 864, 384, 662

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

Apply this formula for all numbers.

Step1:

LCM(784, 864) = 42336

GCD(784, 864) = ( 784 x 864 ) / 42336

= 784 / 864

= 784

Step2:

LCM(16, 384) = 384

GCD(16, 384) = ( 16 x 384 ) / 384

= 16 / 384

= 16

Step3:

LCM(16, 662) = 5296

GCD(16, 662) = ( 16 x 662 ) / 5296

= 16 / 662

= 16

So, Greatest Common Divisor of 784, 864, 384, 662 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 497, 483, 316, 644
• GCD of 643, 407, 171, 499
• GCD of 140, 897, 820, 420
• GCD of 949, 223, 907, 403
• GCD of 965, 218, 970, 866

Given numbers are 784, 864, 384, 662
The greatest common divisor of numbers 784, 864, 384, 662 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 864, 384, 662 is 2.

1. What is the GCD of 784, 864, 384, 662?

GCD of given numbers 784, 864, 384, 662 is 2

2. How to calculate the greatest common divisor of 784, 864, 384, 662?

We can find the highest common divisor of 784, 864, 384, 662 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 784, 864, 384, 662 i.e 2.

3. How can I use the GCD of 784, 864, 384, 662Calculator?

Out the numbers 784, 864, 384, 662 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.