GCD of 384, 530, 778, 822 Calculator

Given Input numbers are 384, 530, 778, 822

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

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 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 778 :

The positive integer divisors of 778 that completely divides 778 are.

1, 2, 389, 778

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (384, 530, 778, 822) = 2.

Given numbers are 384, 530, 778, 822

The list of prime factors of all numbers are

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

Prime factors of 530 are 2 x 5 x 53

Prime factors of 778 are 2 x 389

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 384, 530, 778, 822 is 2.

Given numbers are 384, 530, 778, 822

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

Apply this formula for all numbers.

Step1:

LCM(384, 530) = 101760

GCD(384, 530) = ( 384 x 530 ) / 101760

= 384 / 530

= 384

Step2:

LCM(2, 778) = 778

GCD(2, 778) = ( 2 x 778 ) / 778

= 2 / 778

= 2

Step3:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

So, Greatest Common Divisor of 384, 530, 778, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 960, 713, 288
• GCD of 619, 234, 771, 287
• GCD of 446, 823, 682, 331
• GCD of 164, 639, 569, 218
• GCD of 590, 184, 603, 749

Given numbers are 384, 530, 778, 822
The greatest common divisor of numbers 384, 530, 778, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 530, 778, 822 is 2.

1. What is the GCD of 384, 530, 778, 822?

GCD of given numbers 384, 530, 778, 822 is 2

2. How to calculate the greatest common divisor of 384, 530, 778, 822?

We can find the highest common divisor of 384, 530, 778, 822 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 384, 530, 778, 822 i.e 2.

3. How can I use the GCD of 384, 530, 778, 822Calculator?

Out the numbers 384, 530, 778, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.