GCD of 564, 444, 752, 904 Calculator

Given Input numbers are 564, 444, 752, 904

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

GCD of numbers is the greatest common divisor

So, the GCD (564, 444, 752, 904) = 4.

Given numbers are 564, 444, 752, 904

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 904 are 2 x 2 x 2 x 113

The highest common occurrence is 2²

Therefore, GCD of 564, 444, 752, 904 is 4.

Given numbers are 564, 444, 752, 904

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

Apply this formula for all numbers.

Step1:

LCM(564, 444) = 20868

GCD(564, 444) = ( 564 x 444 ) / 20868

= 564 / 444

= 564

Step2:

LCM(12, 752) = 2256

GCD(12, 752) = ( 12 x 752 ) / 2256

= 12 / 752

= 12

Step3:

LCM(4, 904) = 904

GCD(4, 904) = ( 4 x 904 ) / 904

= 4 / 904

= 4

So, Greatest Common Divisor of 564, 444, 752, 904 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 994, 258, 226, 383
• GCD of 542, 590, 855, 506
• GCD of 457, 389, 751, 729
• GCD of 922, 991, 249, 137
• GCD of 930, 814, 554, 468

Given numbers are 564, 444, 752, 904
The greatest common divisor of numbers 564, 444, 752, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 444, 752, 904 is 4.

1. What is the GCD of 564, 444, 752, 904?

GCD of given numbers 564, 444, 752, 904 is 4

2. How to calculate the greatest common divisor of 564, 444, 752, 904?

We can find the highest common divisor of 564, 444, 752, 904 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 564, 444, 752, 904 i.e 4.

3. How can I use the GCD of 564, 444, 752, 904Calculator?

Out the numbers 564, 444, 752, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.