GCD of 576, 852, 496, 924 Calculator

Given Input numbers are 576, 852, 496, 924

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 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (576, 852, 496, 924) = 4.

Given numbers are 576, 852, 496, 924

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 852 are 2 x 2 x 3 x 71

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 2²

Therefore, GCD of 576, 852, 496, 924 is 4.

Given numbers are 576, 852, 496, 924

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

Apply this formula for all numbers.

Step1:

LCM(576, 852) = 40896

GCD(576, 852) = ( 576 x 852 ) / 40896

= 576 / 852

= 576

Step2:

LCM(12, 496) = 1488

GCD(12, 496) = ( 12 x 496 ) / 1488

= 12 / 496

= 12

Step3:

LCM(4, 924) = 924

GCD(4, 924) = ( 4 x 924 ) / 924

= 4 / 924

= 4

So, Greatest Common Divisor of 576, 852, 496, 924 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 754, 469, 588
• GCD of 588, 421, 861, 244
• GCD of 631, 257, 987, 266
• GCD of 425, 408, 920, 190
• GCD of 577, 455, 215, 466

Given numbers are 576, 852, 496, 924
The greatest common divisor of numbers 576, 852, 496, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 852, 496, 924 is 4.

1. What is the GCD of 576, 852, 496, 924?

GCD of given numbers 576, 852, 496, 924 is 4

2. How to calculate the greatest common divisor of 576, 852, 496, 924?

We can find the highest common divisor of 576, 852, 496, 924 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, 852, 496, 924 i.e 4.

3. How can I use the GCD of 576, 852, 496, 924Calculator?

Out the numbers 576, 852, 496, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.