GCD of 748, 822, 384 Calculator

Given Input numbers are 748, 822, 384

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 822 :

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

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

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 (748, 822, 384) = 2.

Given numbers are 748, 822, 384

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 822 are 2 x 3 x 137

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 748, 822, 384 is 2.

Given numbers are 748, 822, 384

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

Apply this formula for all numbers.

Step1:

LCM(748, 822) = 307428

GCD(748, 822) = ( 748 x 822 ) / 307428

= 748 / 822

= 748

Step2:

LCM(2, 384) = 384

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

= 2 / 384

= 2

So, Greatest Common Divisor of 748, 822, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 533, 979
• GCD of 915, 499, 955
• GCD of 622, 106, 340
• GCD of 909, 451, 426
• GCD of 788, 412, 562

Given numbers are 748, 822, 384
The greatest common divisor of numbers 748, 822, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 822, 384 is 2.

1. What is the GCD of 748, 822, 384?

GCD of given numbers 748, 822, 384 is 2

2. How to calculate the greatest common divisor of 748, 822, 384?

We can find the highest common divisor of 748, 822, 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 748, 822, 384 i.e 2.

3. How can I use the GCD of 748, 822, 384Calculator?

Out the numbers 748, 822, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.