GCD of 576, 732, 552, 822 Calculator

Given Input numbers are 576, 732, 552, 822

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

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 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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 (576, 732, 552, 822) = 6.

Given numbers are 576, 732, 552, 822

The list of prime factors of all numbers are

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

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 576, 732, 552, 822 is 6.

Given numbers are 576, 732, 552, 822

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

Apply this formula for all numbers.

Step1:

LCM(576, 732) = 35136

GCD(576, 732) = ( 576 x 732 ) / 35136

= 576 / 732

= 576

Step2:

LCM(12, 552) = 552

GCD(12, 552) = ( 12 x 552 ) / 552

= 12 / 552

= 12

Step3:

LCM(12, 822) = 1644

GCD(12, 822) = ( 12 x 822 ) / 1644

= 12 / 822

= 12

So, Greatest Common Divisor of 576, 732, 552, 822 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 822, 837, 324, 833
• GCD of 778, 872, 289, 484
• GCD of 962, 973, 301, 422
• GCD of 126, 222, 725, 938
• GCD of 789, 516, 508, 703

Given numbers are 576, 732, 552, 822
The greatest common divisor of numbers 576, 732, 552, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 732, 552, 822 is 6.

1. What is the GCD of 576, 732, 552, 822?

GCD of given numbers 576, 732, 552, 822 is 6

2. How to calculate the greatest common divisor of 576, 732, 552, 822?

We can find the highest common divisor of 576, 732, 552, 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 576, 732, 552, 822 i.e 6.

3. How can I use the GCD of 576, 732, 552, 822Calculator?

Out the numbers 576, 732, 552, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.