GCD of 822, 576, 822, 120 Calculator

Given Input numbers are 822, 576, 822, 120

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

Divisors of 822 :

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

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 822 :

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

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (822, 576, 822, 120) = 6.

Given numbers are 822, 576, 822, 120

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 822 are 2 x 3 x 137

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 822, 576, 822, 120 is 6.

Given numbers are 822, 576, 822, 120

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

Apply this formula for all numbers.

Step1:

LCM(822, 576) = 78912

GCD(822, 576) = ( 822 x 576 ) / 78912

= 822 / 576

= 822

Step2:

LCM(6, 822) = 822

GCD(6, 822) = ( 6 x 822 ) / 822

= 6 / 822

= 6

Step3:

LCM(6, 120) = 120

GCD(6, 120) = ( 6 x 120 ) / 120

= 6 / 120

= 6

So, Greatest Common Divisor of 822, 576, 822, 120 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 142, 134, 191
• GCD of 660, 970, 990, 431
• GCD of 753, 684, 282, 143
• GCD of 559, 892, 134, 320
• GCD of 951, 498, 977, 833

Given numbers are 822, 576, 822, 120
The greatest common divisor of numbers 822, 576, 822, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 576, 822, 120 is 6.

1. What is the GCD of 822, 576, 822, 120?

GCD of given numbers 822, 576, 822, 120 is 6

2. How to calculate the greatest common divisor of 822, 576, 822, 120?

We can find the highest common divisor of 822, 576, 822, 120 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 822, 576, 822, 120 i.e 6.

3. How can I use the GCD of 822, 576, 822, 120Calculator?

Out the numbers 822, 576, 822, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.