GCD of 484, 364, 822, 768 Calculator

Given Input numbers are 484, 364, 822, 768

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

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 822 :

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

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

GCD of numbers is the greatest common divisor

So, the GCD (484, 364, 822, 768) = 2.

Given numbers are 484, 364, 822, 768

The list of prime factors of all numbers are

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 822 are 2 x 3 x 137

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 484, 364, 822, 768 is 2.

Given numbers are 484, 364, 822, 768

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

Apply this formula for all numbers.

Step1:

LCM(484, 364) = 44044

GCD(484, 364) = ( 484 x 364 ) / 44044

= 484 / 364

= 484

Step2:

LCM(4, 822) = 1644

GCD(4, 822) = ( 4 x 822 ) / 1644

= 4 / 822

= 4

Step3:

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

= 2 / 768

= 2

So, Greatest Common Divisor of 484, 364, 822, 768 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 553, 935, 452
• GCD of 889, 311, 718, 114
• GCD of 880, 556, 266, 339
• GCD of 616, 439, 633, 314
• GCD of 815, 357, 666, 515

Given numbers are 484, 364, 822, 768
The greatest common divisor of numbers 484, 364, 822, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 364, 822, 768 is 2.

1. What is the GCD of 484, 364, 822, 768?

GCD of given numbers 484, 364, 822, 768 is 2

2. How to calculate the greatest common divisor of 484, 364, 822, 768?

We can find the highest common divisor of 484, 364, 822, 768 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 484, 364, 822, 768 i.e 2.

3. How can I use the GCD of 484, 364, 822, 768Calculator?

Out the numbers 484, 364, 822, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.